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lilianjie        

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  • TA的每日心情
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    2012-1-13 11:05
  • 签到天数: 15 天

    [LV.4]偶尔看看III

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    发表于 2012-1-12 13:19 |只看该作者 |倒序浏览
    |招呼Ta 关注Ta

    9 Q- V% u4 c) k: A0 I1 b' e0 K& s+ N" x5 Q% E: p
    Abelian groups     Abelian group
    1 c0 a; e7 K2 Q# g! RAbelian lattice-ordered groups% w8 j7 C: p: M* D$ G+ [! v3 g
    Abelian ordered groups
    ; ]! l/ R, A6 [+ j8 q; u& K8 XAbelian p-groups6 D6 n. b7 R( V( a
    Abelian partially ordered groups' V9 Q! W0 L+ m9 P( N/ F; V
    Action algebras     Action algebra
    9 k4 e' L' J$ N% L1 n: I0 G; ]Action lattices. @2 S$ d) V  [' u$ m
    Algebraic lattices6 A: [8 @5 |. m2 x6 v' C
    Algebraic posets     Algebraic poset+ m6 L9 T) A' L/ ]
    Algebraic semilattices
    4 n8 k% S. Q! |Allegories     Allegory (category theory)
    4 U1 N2 ]/ y* L  DAlmost distributive lattices
    % O- _/ N: n+ J  \9 h* @Associative algebras     Associative algebra
    1 ]+ M5 J  T8 A% LBanach spaces     Banach space
    2 F3 {" F$ S% n' [( X0 U& f5 H! ABands     Band (mathematics), Finite bands
    4 c9 U- [" H' L; k& \Basic logic algebras+ S7 `8 }7 ^( ?7 n
    BCI-algebras     BCI algebra
    1 \# m3 v8 Z6 K, n+ F, vBCK-algebras     BCK algebra) S4 r( t3 g9 x' Z: z% {
    BCK-join-semilattices7 F3 d( O( B5 B4 ^7 K
    BCK-lattices  g1 u8 V& A" E3 G" Z8 N: C# `
    BCK-meet-semilattices* k. K0 p5 k1 _0 O4 e3 K: u
    Bilinear algebras; g  k$ ^  {) r& N+ O8 _) J9 c
    BL-algebras
    8 p7 @  v4 Y& {  h" x, n0 b) ^9 RBinars, Finite binars, with identity, with zero, with identity and zero,
    . t6 \3 P) _/ g5 B2 G/ `( v7 xBoolean algebras     Boolean algebra (structure)
    4 i% C, G2 M, M/ N5 ABoolean algebras with operators
    7 B* p; H; a$ ]* u) k) x( T. lBoolean groups
    7 U# z: A9 M* ~Boolean lattices. V; A" r% ~$ B: t
    Boolean modules over a relation algebra
    ( G7 S9 \1 I0 B! mBoolean monoids6 P2 H' ^. x6 z; C
    Boolean rings& F: \) Q2 j, [% W" k
    Boolean semigroups* s$ [, n3 F8 U* V
    Boolean semilattices
    + C; `& e& J% y) }' c4 tBoolean spaces3 V( k; y# j/ A7 g. ?
    Bounded distributive lattices
    6 e; \& ~; K* TBounded lattices
    5 K8 e. V$ A' ^2 e! Y) p* YBounded residuated lattices+ W. u6 E8 K* f
    Brouwerian algebras6 |0 C  k& u' T9 ~/ G
    Brouwerian semilattices
      {1 ]* D2 L/ |9 `8 n# j7 EC*-algebras
    1 v: u3 |6 s, f8 M& o' V7 C) ^Cancellative commutative monoids; `/ q% C- L3 p' p9 h; |1 Y
    Cancellative commutative semigroups! e' F$ x) Q4 S. b
    Cancellative monoids& K7 z$ {' d2 R. C9 b
    Cancellative semigroups" K+ s5 F6 p" }' T
    Cancellative residuated lattices
    3 I( `5 g) U) M$ SCategories
    / L; i/ F" Z  U5 u9 S/ FChains
    3 U: G+ J. a) D: h% [& H3 v, aClifford semigroups
    5 S0 u, y0 h! A5 r( z  E' fClifford algebras. U3 v) \+ Z# z! N' G
    Closure algebras
    9 e; [& p& X3 KCommutative BCK-algebras
    3 K% O" `& v- E8 L" _Commutative binars, Finite commutative binars, with identity, with zero, with identity and zero
    8 k7 M8 \# j* d# t* l+ I# n( Ucommutative integral ordered monoids, finite commutative integral ordered monoids7 Q. ]# N7 W7 @, W5 u
    Commutative inverse semigroups1 Z" p- y7 w9 u9 X
    Commutative lattice-ordered monoids
    " A  D9 l; l; N' [- O' i9 J& VCommutative lattice-ordered rings+ l2 k6 p, ]- J
    Commutative lattice-ordered semigroups3 Z' @8 r3 l+ B5 o! I
    Commutative monoids, Finite commutative monoids, Finite commutative monoids with zero
    2 s8 N/ J2 \! ^5 c" w) y. mCommutative ordered monoids
    & X& \2 R- ]- D3 ~# ?Commutative ordered rings5 y# e$ f- ?* \+ G* F- {7 I2 @; W
    Commutative ordered semigroups, Finite commutative ordered semigroups2 i: ^% Y4 y; c- @  `$ w. u
    Commutative partially ordered monoids
    ' w/ Y  ?; j' ?3 n3 D# F. BCommutative partially ordered semigroups/ I, S8 M# h$ q) p! e
    Commutative regular rings
    6 @4 b& l9 X2 Z0 L2 y! _Commutative residuated lattice-ordered semigroups) g2 r' D2 s1 @
    Commutative residuated lattices# Y# u; d1 @& Q' c* M
    Commutative residuated partially ordered monoids
    0 m" ^8 P1 i3 g6 m7 |Commutative residuated partially ordered semigroups' O9 |/ E; g/ ^8 Q
    Commutative rings
    5 b0 `' `* V' |' t4 u& SCommutative rings with identity
    # ~3 S: ~% i4 n! |/ B5 |) K- cCommutative semigroups, Finite commutative semigroups, with zero
    0 A" w6 r# ^7 n' i* \8 d% uCompact topological spaces
    7 B+ m+ a5 L% C$ Q" G6 r4 vCompact zero-dimensional Hausdorff spaces5 d6 h' {. m# U! s, p& _  v1 d
    Complemented lattices: M# f7 x4 l6 e0 T. M9 L3 N
    Complemented distributive lattices
    9 y! m" U' L- |3 c; mComplemented modular lattices
    5 Q  z& h! |6 L; l2 EComplete distributive lattices2 Y+ D  V* O! r7 U/ L$ Y
    Complete lattices, i6 F* W# _. d, ]' @( z
    Complete semilattices7 l* D+ J. m+ j3 k* P
    Complete partial orders
    - `) Z1 O, z3 ^5 L$ a9 @) fCompletely regular Hausdorff spaces
    - h/ `5 D; {0 ^Completely regular semigroups
    $ L, F/ u8 }3 u. K4 xContinuous lattices
    ; c  b" u4 D- ?  i8 R* cContinuous posets, @0 \6 R* {1 U+ y# O) K8 ~
    Cylindric algebras
    " }* D  f4 K5 Y3 p$ sDe Morgan algebras
    5 E- q2 P0 C; @0 cDe Morgan monoids8 l( C# N0 i  y6 d
    Dedekind categories; Z7 t9 b5 R$ C
    Dedekind domains0 L5 W3 [1 l" Q0 m# |
    Dense linear orders
    ( q' z: W; p( O: W! UDigraph algebras
    * ?# e1 v; m* T6 h& BDirected complete partial orders) w- @2 Y& x: L5 B( V* \
    Directed partial orders
    + q9 _  ^  ?/ V3 GDirected graphs' e7 c. N/ k( l3 [! \+ n/ E
    Directoids
    : T# i; p# w; W( H! |1 q  rDistributive allegories7 u. g. K8 c' |9 m
    Distributive double p-algebras
    - s6 l" E% q+ _: ]( SDistributive dual p-algebras# h$ F+ P  v7 c
    Distributive lattice expansions
    ( ~( n; I) ]& s/ D) B9 H8 ~Distributive lattices
    ; i2 _1 K' G8 R% HDistributive lattices with operators6 T' M/ B7 a7 n+ S$ T" s/ p
    Distributive lattice ordered semigroups
    ' Z) j1 h3 i4 D/ Z: C# P1 F% dDistributive p-algebras0 {, J7 ^. j# J1 q* r( @
    Distributive residuated lattices
    / d: F" A1 _+ [5 b4 t; EDivision algebras
    3 X$ L# W# e9 D% Z& r2 L/ YDivision rings6 A- p+ x* N9 k% f- B) G7 n
    Double Stone algebras$ V4 P) V0 u& \
    Dunn monoids
    # n, @8 {0 D5 jDynamic algebras' _. b& d$ e3 G3 {3 p; I6 @
    Entropic groupoids
    ; s+ Z8 z" ~! V  R, q8 G* kEquivalence algebras7 g6 |& F* n6 N) l2 Z& b; Y* t9 K
    Equivalence relations% S0 T) T1 M' r6 }
    Euclidean domains
    ; y6 D+ {. I" b( Z* Y" v  e# |f-rings
    ! j3 U1 c; g$ P) @2 a+ A% t7 a. fFields- A9 `1 f# M: u9 W0 i! X( V
    FL-algebras
    # T1 |/ T% C: y$ X! {4 KFLc-algebras
      z. K2 R# a8 U6 X: D7 hFLe-algebras
    - n0 S; q& {8 _. q- N) b4 u6 HFLew-algebras
    + M& K0 ]) c, [$ E' tFLw-algebras: k+ C. o. W" a* w( Y" z& e$ S
    Frames
    ) ]( @% A9 e* l1 K+ c  s) AFunction rings
    # R8 d; b  ~# M$ e+ V9 BG-sets
    8 n  c4 q+ ~- Z" G6 P; OGeneralized BL-algebras
      C/ b' p0 i  m) y5 s$ c7 gGeneralized Boolean algebras
    1 i( ?% I% ?8 T7 q: IGeneralized MV-algebras
    ' s+ @: J/ P5 M0 CGoedel algebras* a. V* q4 j; a  u" C* h
    Graphs
    + U' w! v+ P; \' H  H& G6 z. H5 ^Groupoids
    ' k) K# D4 T5 u- d  x3 ?8 a: vGroups  u3 s, ^. t6 U6 A
    Hausdorff spaces
    $ ~8 O2 o5 R5 Q) F1 h: {7 ~Heyting algebras9 B" \8 a! K$ g
    Hilbert algebras2 }% f2 k* {) @) a) |  z
    Hilbert spaces5 @( \  |) @2 V4 j' Z7 V
    Hoops5 z! E9 G9 k% O5 K( a
    Idempotent semirings& i8 \# w3 f: {& ^9 x& u: A
    Idempotent semirings with identity
    6 ]. H  p; l( G5 q: A. a. RIdempotent semirings with identity and zero
    ( M8 _2 `8 _9 H0 r$ O5 t% w% Z+ `Idempotent semirings with zero% R5 U+ D! ^$ ]  ~* X" ^: q/ t0 Q% R
    Implication algebras
    " x( K1 Y2 X; G/ a1 IImplicative lattices3 V% V+ s$ e1 D2 Z% w* w
    Integral domains
    ( K* d2 `# B( c: w; a" JIntegral ordered monoids, finite integral ordered monoids
    4 |* N. X8 i7 k' i" x" Z3 GIntegral relation algebras
    : j9 b" y$ C$ r' u2 cIntegral residuated lattices6 G& I; D) H1 f2 P  Y
    Intuitionistic linear logic algebras5 h9 c+ X% a& l- z2 d) N( M0 w  {. ~. ~
    Inverse semigroups" a! W' _* W1 b; D9 N7 k3 X
    Involutive lattices* s7 M/ b0 d3 s8 h+ s+ k  h, H" \+ f
    Involutive residuated lattices& n' Z1 ~8 P1 S# o5 W
    Join-semidistributive lattices. n+ z3 d/ K7 o
    Join-semilattices
    # T3 J9 \+ G. r0 d% Q" c" pJordan algebras
    3 W  T% X4 ^0 f* R' I" A7 d. J/ rKleene algebras
    : W3 p: n) `  y8 [2 k8 XKleene lattices
    ! P. x6 R! s; E% z* Y/ KLambek algebras
    $ O! O, K0 ^# |, G7 dLattice-ordered groups
    : ]  U$ V& N2 y4 xLattice-ordered monoids# b* K& j# |" k/ U
    Lattice-ordered rings
    7 ~5 j* `) D* o; T3 e* @! WLattice-ordered semigroups
    2 w* o+ R, |! F  u. @( D% cLattices! c# d9 i0 K; X% x  v* K  t
    Left cancellative semigroups
    9 x" v1 I6 ?& K; W3 {" VLie algebras
    ! R  v/ V6 u1 ~; JLinear Heyting algebras9 S2 a; I, \* R3 V
    Linear logic algebras
    ) R/ m: E7 A. }. s4 A6 M, DLinear orders# \& Y, P9 `. B9 y0 S' g% D- Q, D
    Locales- B) i. t" D# A5 b! n' \4 q
    Locally compact topological spaces
    - d9 Q8 d& U  k* i+ {Loops* _9 ?9 J) F  N1 Z4 p! v- W9 p! |" M
    Lukasiewicz algebras of order n2 W/ B4 f, E/ q' V! i
    M-sets
    & Z6 k& [) z/ p! m: S5 j. d7 LMedial groupoids
    " r/ B# I; I' H7 G, |; kMedial quasigroups
    0 ~& g  Y0 u7 X4 b) ^Meet-semidistributive lattices
    1 a' j* s9 G) |" `. g+ K& K8 j0 ZMeet-semilattices
    7 O+ P* z, R( X- T# O7 |Metric spaces: U+ z/ b; T- ^0 u" c; W+ |% W9 ^
    Modal algebras
      N* ]! m. _$ y0 P; |Modular lattices" F# T/ M$ E, b1 T& u- Y
    Modular ortholattices; V3 C% T; z( _/ F( {. H; {
    Modules over a ring3 e/ p# S6 J1 X! ?# F$ I
    Monadic algebras
    ) T1 F3 O0 F9 A& RMonoidal t-norm logic algebras
    ! C6 n0 `- O2 q2 R4 d$ P& K! nMonoids, Finite monoids, with zero
    - b" {* Y5 ^) X1 E" E$ l" |Moufang loops, D/ L$ k8 C5 N! U! {6 e
    Moufang quasigroups4 o: F9 a( _* {" Z% a3 e8 U, E( c
    Multiplicative additive linear logic algebras' B- @, k2 F0 X( x9 g" x' m' R; p3 g5 [
    Multiplicative lattices
    " h9 K- ^: H2 _5 k! IMultiplicative semilattices
    3 n3 Y( t/ s% X9 t) O. e! {6 mMultisets) S9 f" W' A- w0 F, [
    MV-algebras' k0 L% ?' Y  Z! U" g
    Neardistributive lattices' e/ h$ [$ b  A( Y8 ?
    Near-rings
    ) n- y! q* P- S: A0 _  PNear-rings with identity
    1 Z; ~3 B0 y6 `; }; zNear-fields# e  x) n- j% C  j& q
    Nilpotent groups; r' T" f; S( V: X7 R( z. V& e
    Nonassociative relation algebras
    - }' u- n7 O6 j4 hNonassociative algebras2 Y) A! k4 Q$ v( B+ C1 M
    Normal bands
    ; ~. J7 w" a' b/ SNormal valued lattice-ordered groups
    $ Y1 ~7 ^. B- }9 f, |$ U+ ~Normed vector spaces
    ) o5 i  o: F. n  J: tOckham algebras
    + V7 L: L/ Q( {$ lOrder algebras1 X. i+ R6 L3 H9 Y1 q$ O
    Ordered abelian groups5 o4 Y  x* A  k4 y4 X% ?
    Ordered fields! q  T6 D7 o4 \' e
    Ordered groups
    # Q% d0 N) ~* ROrdered monoids
    / e+ m' q3 {* ]& T5 {* ROrdered monoids with zero* A9 B& t. `' D# P* _& A
    Ordered rings' i3 t; @9 M; F6 H
    Ordered semigroups, Finite ordered semigroups, Finite ordered semigroups with zero5 O, }2 B) L0 ^0 V# M
    Ordered semilattices, Finite ordered semilattices8 U/ R" k% B$ D2 I6 u& j
    Ordered sets) {& d% \- m' i$ c
    Ore domains
    1 v5 G* B2 l2 ?6 n! uOrtholattices( Y8 j  @/ l; K; `" f
    Orthomodular lattices1 S2 c( b; U9 R8 U3 s# v$ P3 j$ m: u& R
    p-groups
    5 c' M! q" F* c+ xPartial groupoids
    % D7 w0 t; p9 e- S" N3 R! I' dPartial semigroups
    * ~1 ]1 T4 ]8 R% \# o. oPartially ordered groups6 X; f- N5 V# N7 O. D
    Partially ordered monoids
    $ ^( s8 L) c8 K/ {! F7 a/ a4 |' V" d7 gPartially ordered semigroups
    0 Z- s7 v& v0 [9 oPartially ordered sets+ T& [9 H2 \8 x& W
    Peirce algebras# b3 w1 Z# A0 [# r
    Pocrims3 @" Z% w) U2 ]4 l0 N
    Pointed residuated lattices$ K5 E+ i6 ?5 O
    Polrims
    & o- X" C+ y9 nPolyadic algebras
    . ]; t+ v5 Z! w4 XPosets
    - Q4 Z" E& o+ S7 y( ?/ ]0 l& p1 b/ UPost algebras. f% f- L/ Q  E) N& b$ g( K
    Preordered sets
      s$ }3 {1 O3 m% H" O9 QPriestley spaces
    6 m+ W/ {- _, I2 s! g  s% C% vPrincipal Ideal Domains
    ' j6 D  R* G8 x, G8 r0 v( QProcess algebras
    8 S( S% j$ n- w% I7 c$ mPseudo basic logic algebras
    " y* Y. y- Q+ j$ y( nPseudo MTL-algebras
    ! T4 L' W' N4 w" SPseudo MV-algebras
    - `; B4 e- f5 V2 y0 U: @% C: TPseudocomplemented distributive lattices. J  W4 b0 c* o
    Pure discriminator algebras$ S) ^! E( n1 G1 H; J* n) t) X+ t5 H
    Quantales
    1 b. p* m* y% }. a( G4 s- j9 L' H4 iQuasigroups( b* r" Y& G( d/ ?3 y' D
    Quasi-implication algebras
    1 z! j6 k: M1 l) E4 ^Quasi-MV-algebra
    0 Z  F6 c! [0 L6 j  OQuasi-ordered sets
    * p* G, s0 {# uQuasitrivial groupoids
    , ]! m7 y9 j. b; dRectangular bands
      t" s, c1 f* `' r% ~Reflexive relations9 L( }& Q# m6 ~$ A. s' s' E  l' z
    Regular rings
    $ h: F1 c5 E1 h( j) S% N( @Regular semigroups
    & k( U1 w5 [" g  g2 F! [Relation algebras5 j' e5 V$ ?$ c& l: Q
    Relative Stone algebras
    , K' y) H) Z2 Z& N% f) {. nRelativized relation algebras
    + C; C% ?1 F, J8 l' O' B9 X! vRepresentable cylindric algebras1 B* I$ R2 m. z+ G9 \# H  g
    Representable lattice-ordered groups' a6 L+ _# F) p; O
    Representable relation algebras
    1 N0 d% l9 ]7 C7 @+ uRepresentable residuated lattices
    * W& w7 p% ]3 a9 ~! Z2 B" h1 ~Residuated idempotent semirings
    + }# X. B) n) T/ W: mResiduated lattice-ordered semigroups
    4 _0 q+ D3 i* _3 l# AResiduated lattices
    ; w% g  J. u- y4 s3 N( mResiduated partially ordered monoids
    3 R% {3 N" b" `6 p) X! }Residuated partially ordered semigroups9 X/ I, n! T, u+ K
    Rings
    / H5 N1 o' N+ k! S7 IRings with identity& }' }4 R; i4 G: s  H
    Schroeder categories* Y9 W" j/ m# E& Q' }- Y  j9 _
    Semiassociative relation algebras+ l. g4 H# ~! {" E: n
    Semidistributive lattices6 o% V5 Y3 m6 \! t5 x4 D8 V0 y+ s
    Semigroups, Finite semigroups
    / [2 p8 Q( |: e4 \9 O8 O( kSemigroups with identity
    . o5 n" X5 p$ s& \5 O* T8 [' b/ u( |Semigroups with zero, Finite semigroups with zero' ^9 U/ t3 |. d
    Semilattices, Finite semilattices
    ! x5 [2 R. Y' y2 `Semilattices with identity, Finite semilattices with identity
    9 @! h( ]  q7 f4 B( W/ j/ Z# lSemilattices with zero+ _' b7 I/ o3 e8 I
    Semirings
    $ f6 A2 _. e$ g' `3 K0 |Semirings with identity0 q/ g: Q8 T7 ?9 O. r9 g: _
    Semirings with identity and zero
    * w9 G! q6 ^$ H% dSemirings with zero
    # F* I" P0 x2 j# v* [Sequential algebras6 ~& e% i/ y+ g
    Sets
    4 }/ r. l% ^+ g+ `7 E' b/ vShells
    7 r+ o8 H3 I5 vSkew-fields
    0 Y% ^2 ?% W1 USkew_lattices7 Y; s) P. Z) V/ I3 u# T/ F6 v
    Small categories
    ( U, E  _+ H( x3 y& Y/ {! C- F( G: fSober T0-spaces
    2 u: Q) Z1 H/ m8 k2 v) nSolvable groups
    2 b- v. Q2 h* N- R) E# SSqrt-quasi-MV-algebras3 U2 V5 _9 g: j, U, l9 f9 n  X9 p. s6 k
    Stably compact spaces
    * \* y. b8 j  v3 U. LSteiner quasigroups6 R4 s0 B0 l. O
    Stone algebras6 @9 I& j; l/ _) t+ b; o1 I
    Symmetric relations$ z$ F: T) J/ P9 b. k
    T0-spaces8 C8 m7 |, O" O; C
    T1-spaces
    " i: @* ~4 g: M# U8 bT2-spaces& O/ A% D- N- {
    Tarski algebras9 q' x( M/ I  _! z7 W2 G; a
    Tense algebras
    4 Q5 p3 ~9 j& K' M7 QTemporal algebras
    , Y$ V. n% R: {/ jTopological groups
    % g; E' S) |7 d2 eTopological spaces
    ) Q( T, s" C6 k' BTopological vector spaces
    5 P9 a0 u" s3 W" e; F# |Torsion groups! l) |3 Z6 c; [7 ^6 R; W
    Totally ordered abelian groups
    + r( d! [4 p- C* m& R3 Q$ W# ^' H/ U9 oTotally ordered groups( x" a; _2 k4 v/ h
    Totally ordered monoids! X9 z' U# _8 W" Q
    Transitive relations
    2 k: I7 x# A" L5 d) }2 ~9 T  DTrees  h. p* R: o; }0 ~( `3 p
    Tournaments
    2 f6 `/ r& p. AUnary algebras
    3 E: A: A4 s2 B% i1 TUnique factorization domains9 U( R: z8 N& f
    Unital rings
    & d7 |: J; x. p8 L1 KVector spaces4 @5 Z7 y! Z+ Y% u# C9 s6 d
    Wajsberg algebras8 o/ y# b. O* V: x2 K0 ^" W
    Wajsberg hoops
    + q' k2 D9 V/ G, xWeakly associative lattices
    / |7 m# N. U: [+ O3 L& H8 TWeakly associative relation algebras
    ! q3 L$ Y6 t4 |" X6 fWeakly representable relation algebras: W& C& L% R4 d# s3 F: U% h
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  • TA的每日心情
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    2012-1-13 11:05
  • 签到天数: 15 天

    [LV.4]偶尔看看III

    阿贝尔群Abel群& P1 U+ Q! ?7 C2 j
    阿贝尔格序群- u% z) _3 h1 r
    阿贝尔下令组
    : I& G9 x+ d& ~4 a4 C6 P- ~阿贝尔p -群: R5 b) y/ J2 I2 c+ H3 Q% K
    阿贝尔部分下令组1 p! F( R. S5 W  s: H1 f2 A1 ]: ?
    行动代数行动代数2 y' R) L6 V, V& ~2 r& |4 @0 x4 p2 @, R
    行动晶格
    3 m/ }( G4 z  r2 p/ n( v: W# @# U代数晶格" L! v5 S5 J  q6 u6 Z6 R
    代数偏序代数偏序集
    3 L8 s' j  W# @3 a代数半格' q8 j' O! _1 ?2 s1 Y
    寓言的寓言(范畴论)- N- A4 q5 g" P9 L+ z& i. ^( e
    几乎分配格
    $ \& H- a. l: E3 [/ q" B* J5 a: r: [1 U关联代数关联代数
    - r0 g2 |2 x2 ]Banach空间的Banach空间6 O/ h! S, [' z; H9 w5 d
    乐队乐队(数学),有限频带
    * J6 ?7 S4 h9 {- f/ i基本逻辑代数" K/ |# u' D9 v* p
    BCI -代数的BCI代数$ Q4 D3 U+ c* a, u* k) M/ e$ ~5 j/ y
    BCK -代数BCK代数
    $ i, x5 A* s( p/ c% i% w# qBCK联接,半格: l( ?  |* v8 F3 C2 E& r- A. n
    BCK晶格; c9 [. C4 H: q0 Z
    BCK -满足的半格
    ! \* W& v+ B6 T: H( R8 F( e1 a双线性代数- J. P0 L" ?0 x1 L9 c& Y) Q
    BL -代数
    8 d( o+ T  y  @9 R- xBinars,有限的binars,与身份,身份和零与零,
    9 w1 i5 V. o  d8 T布尔代数布尔代数(结构). j- F% n. |4 S. @: h& j1 ]
    与运营商布尔代数
    - d) }7 Y1 s% U8 [布尔组# r* _' Z2 J, I& K* @/ g3 Z
    布尔晶格- e; h5 ~# K' ^' V
    对关系代数的布尔模块# a- c6 m4 O0 c" W% r* B" h
    布尔半群
    8 P. R3 E: X3 b& Z& ~; o( x布尔环* j, P  W- L% p/ H+ h. U
    布尔半群: E; B6 T% }, x
    布尔半格3 [# X2 s2 K; F: v) ?
    布尔空间) F. l0 G$ U& r: E
    有界分配格, X! m( A/ o6 x1 [  M
    界晶格
    . l4 }& X. G6 K) F% X  N界剩余格
    / i$ E; Z6 Q$ w8 k; H2 ^3 tBrouwerian代数
    ! w- C8 `$ I& Y6 V7 K: CBrouwerian半格2 ]0 Z! m: w0 Z, d+ r0 Y
    C *-代数; ?5 n/ K/ o7 N& y& g
    消可交换半群. K2 G: Z3 S0 ?! X3 P
    消可交换半群+ L: ?0 b2 ?2 M: k* n( N# k
    可消半群( C$ }) O1 ]' J2 ]
    可消半群; S9 p& o) \6 G' D3 w; f
    消residuated格
    ) Z5 |1 x9 m, H7 t) ^分类8 ]# O3 f  Y  b, `2 t- ^
    ; H5 N' I) R* m# O# K/ i
    克利福德半群, {# z& R. H& Y
    Clifford代数
      Y- _; O2 z5 S- c5 d& N, R封闭代数
    ; p4 J$ d  K- N' v4 U4 Z) N. Z可交换BCK -代数
    9 T6 q/ b/ U, N交换binars,有限的可交换binars,与身份,零,身份和零$ j" n, w  f1 s3 e) Z' t  Z/ ]
    可交换的组成下令半群,有限可交换积分下令半群6 y- y( {8 R/ x8 \
    交换逆半群
    $ A9 P0 K& s4 s0 {交换点阵有序的半群# r4 A' M" a; ]! ?+ V; S+ r& O9 W
    交换格序环6 _, m- U% T/ I# B8 Q, W. x6 C1 v6 T
    交换格序半群, P0 \" m, i' V8 R7 G: r, C; g& Q
    交换半群,有限可交换半群,零的有限可交换半群
    " t; f9 d8 s  V# r+ o8 C交换下令半群
    $ {6 a; D7 k0 S交换下令戒指
    0 Z. g, n& |; M- q有限交换交换序半群,序半群1 K, Y7 ~  C3 a8 F
    可交换部分有序的半群  L3 l6 ?+ L) h( z- k8 g6 [) v1 G
    可交换部分序半群. x' S1 Q7 ^! H, d
    交换正则环
    6 C: l, }$ I" \: V& |& I交换剩余格序半群
    6 S# y5 H; Q" W交换residuated格6 G9 S9 o: t6 O2 v
    可交换residuated偏序半群
    1 h9 L9 t9 n7 Y, H+ f# r  k: ?可交换residuated偏序半群1 C$ V0 D  ~: s
    交换环+ Q3 [3 R1 |. R% c
    与身份的交换环
    & N2 Z' _+ O6 Q9 t, Z/ J$ b5 x. j: [交换半群,有限可交换半群,零& e$ q. M2 U8 b/ |) R* Q
    紧凑型拓扑空间6 E0 V/ r& c/ S1 D# b4 d
    紧凑的零维的Hausdorff空间
    ; w0 O# _/ t4 W. m& y/ B1 z补充晶格
    0 {- z1 U! y" `4 E有补分配格& N- v. r" f5 L; r+ E4 c1 O9 _
    补充模块化晶格
    7 q! N, m5 @- z, V6 L) ]6 S: n完整的分配格4 x6 }4 B, F$ [1 G: M% A7 Q' `
    完备格$ m; F1 d: @) j' ~( ^4 f" B
    完整的半格: O, o6 p* J9 ^1 m9 i! m
    完成部分订单2 h- A$ m, e$ n( G/ o8 M
    完全正则豪斯多夫空间: [: E9 z$ W" `
    完全正则半群
    ) }$ Q' G# D; o- m连续格
    % c# F* D5 H1 _, a* i连续偏序集  ^5 X2 Z+ F8 [+ R( O
    柱形代数1 @% q  [  _; P+ W6 d( {' L
    德摩根代数
    ; `" y  p: q7 Z1 m, R' A# L德摩半群$ h  a1 Q( t7 T9 f
    戴德金类别, G. m. ~% V' V" q: h
    戴德金域6 ?/ [3 R( j! i
    稠密线性订单0 T  j3 @6 ^+ _1 b5 S* ?$ d
    有向图代数# \' c7 k/ J8 ]) h
    导演完成的部分订单4 k! j2 |! }! j3 L) T9 R+ W
    导演部分订单
    + t7 ?& h  O) r有向图
    4 ]& B8 |4 R  HDirectoids
    3 A' d9 ~+ L3 G+ p  Q& @5 D; k分配寓言
    9 m( r$ J$ L# f" i: |, c" I, M9 g分配的双p -代数' ~( a0 j3 D+ N0 d: w, y4 u
    分配的双P -代数' D- ]; a7 S  L0 F9 T
    分配格扩展; F+ _0 w! e' |+ M; F
    分配格
    2 S9 C2 H: `& }0 j" z* X5 r6 U与运营商分配格. G# {% Y8 M& y% m3 x$ ^3 u5 I
    分配格序半群
    - }& O! w4 f: j* E* Z分配p -代数# ?4 e: R4 b. H; J2 J
    分配residuated格
    $ V+ p9 R/ _0 m司代数2 W% X& X6 q9 u* y3 x7 p
    科环: l1 Y$ n6 I! @; r: u! E& u
    双Stone代数# q. t) V) w& x* X( y1 f7 D
    邓恩半群
    * H4 i+ M; Q% c) S7 ^) ~动态代数
    7 c6 v3 }" W: w" Q7 s; R1 M( c熵groupoids
    3 y9 ?* Z6 P4 A: K等价代数. f& X8 i8 d- ^, {8 L
    等价关系2 E9 r/ K4 C6 b5 g/ l; w, I; x
    欧几里德域! P9 D1 m. K7 S& R0 r
    F -环& \# d  T$ ~) C; I; L; k& [$ K
    字段
    * |1 b. J& I8 cFL -代数
    : L6 q( b! R  x. F/ m, ]3 }FLC -代数
    8 {- R, W% f  A, VFLE -代数
    % E5 G; t5 E) _' a3 e) w0 m2 {( [飞到-代数  X4 s0 v3 |+ ~2 s" }
    FLW -代数
    ; o  y1 w3 {, A0 }" w$ g5 v框架
    ! ~5 z3 Q, Z( N, U; \& W功能戒指
    3 y& g3 [$ O' J: ~( d) wG - 组
    ; V# U( ~. q9 N& I广义BL -代数5 I" V! M& e2 f
    广义布尔代数; Y" r7 `1 M. X  g9 L( P
    广义的MV -代数
    + A/ X+ C, G/ Z+ |8 F& Y" W3 PGoedel代数
    ! n& y2 i# ~# P! a  m' b  ?6 g  V
    $ k6 `- x. Q. u3 d# Y" Q$ dGroupoids
    ! O* x0 ~2 k" h5 x
    % w- |: y  F5 C& k# z0 k# Z0 r* H# u豪斯多夫空间
    & i/ T( x+ i+ s: F) }" R0 PHeyting代数6 ^- t: k2 c3 t6 Y
    希尔伯特代数
    ' U5 h  ?& ?+ h( y* LHilbert空间
    * @3 q# ^/ |! k7 u) n5 J篮球
    5 `+ A, k$ P& Q" @3 f& K9 D1 m幂等半环% v- d  U1 `0 G7 N# P, p
    幂等半环与身份
    2 u7 ?% u2 z( I1 l& i" r6 W幂等半环的身份和零. k, m4 ?, O) W/ ]8 K- T" \
    幂等半环与零
    / t) ~' o+ u5 ^7 J( x. U& o蕴涵代数9 E! d5 ~" P: Z! H& \! ~8 O+ P
    含蓄的格子
    ( g( p5 ]) W* p/ Q. r3 j; b6 I" l积分域6 \* `: h/ a9 X  y3 a( O$ ~# H3 R
    积分下令半群,有限积分下令半群
    ) M9 \% b) w5 y/ R3 N: x" F. I# f/ c2 K积分关系代数! d7 w6 E+ |6 O( l5 k
    集成剩余格
    7 }+ V8 T' o. x6 Z! l8 g直觉线性逻辑代数
    - ]; R6 |% B. }2 z逆半群
    ; t" O( s' ]& _合的格子
      Z* U* ~' ?; C8 @- T合的residuated格+ I, `/ D: A! ^* I- y9 G  a
    加盟semidistributive格5 F% {" L. s8 k
    加盟半格* z/ S' B- T' q! C1 O3 k
    约旦代数, k9 s" Q3 _3 L* I% @
    克莱尼代数
    : p9 A" ~7 H( ^9 A克莱尼晶格0 ]9 B( v: ^$ Z$ J* d. t  d" ]% X: D
    Lambek代数  c- M" v) b& f8 `/ O; a3 j6 o7 N* S
    格序群, c& [8 M% H5 h
    格子下令半群
    2 D; [5 e/ X( i2 X0 ]格序环
    ' e  l0 J1 J! a; e' a' }& r8 z5 c( ^9 _格序半群% _" [- U5 P$ U1 s
    + ?6 ?0 d0 n# W2 ]
    左可消半群1 |" ?- ~5 y+ i  h5 p( \
    李代数
    0 m) s& V+ o+ y* k/ c线性Heyting代数7 v% S% h- f/ q
    线性逻辑代数- ?0 G' w( m* e/ _  W. G" s' E
    线性订单/ U# ?* V$ i4 y' ], U  N
    语言环境
    3 ?9 M; A0 ]/ Y2 ^局部紧拓扑空间
    ) l( m6 g1 R* g4 q  Z3 r& u循环& k+ }6 ?, d. J# R
    n阶Lukasiewicz代数
    ' R3 f( {8 N& kM -组
    ) L* h5 p" n4 x& Z0 x6 m内侧groupoids
    5 ^3 Z: w& U5 }' v内侧quasigroups
    3 s# y! P% e. x2 q. Q# P会见semidistributive格, \- U7 {( Z. B7 L# t
    会见半格
    2 v4 T5 g: R0 T3 A: G- o3 L2 n5 k度量空间
    - u; f; n: A& H4 e/ n1 a& x* h模态代数
    1 B8 f) ]& `% L4 Y- K模块化晶格1 s! X) B5 [! x6 @
    模块化ortholattices
    ' |( U4 O4 K$ r0 i% \环比一个模块. l  R5 C. |# I4 l1 p
    单子代数2 |; d1 c% F) @
    Monoidal t -模的逻辑代数0 V0 t1 e& F9 V; y* ^2 M, ~5 J) P, {
    幺半群,有限半群,零
    4 o7 T% R2 u5 a& j" d/ n# P& W  H& {Moufang循环
    8 L; j' `4 Z$ AMoufang quasigroups
    * ~5 E7 X( V$ ~& f% s$ Q乘添加剂的线性逻辑代数* r% @6 L6 c$ @% _' t8 c
    乘晶格
    $ k; M8 Z/ q3 h* U" |" u* Z& M乘法半格
    ( p; J4 K! s  c% z7 R3 K' v多重集3 _& V$ X  N5 m' a
    MV -代数
    & C, s, s- R5 x$ K# ]& {8 |+ `, F+ ENeardistributive晶格
    $ q% @" V( i( {# f" t5 _, @近环
    0 U& d0 N$ Y6 J! r近环与身份
    + H9 _$ E8 h' W6 u近田
    - a  A8 _/ @. i. K8 z- y  q6 w0 ?幂零群
    9 n' z- t' N( V% H4 ?5 J% l9 k非结合的关系代数9 {( c- r1 c0 }9 ^
    非结合代数
    & `1 _  L' S- g& ^$ z; b% d, D普通频段+ y/ d/ N9 {2 ?, O+ k2 z8 W
    正常价值格序群& w, Q$ q$ j0 b; B! q& D# |  L
    赋范向量空间& w) j8 V* H9 C! l  C8 @
    奥康代数6 c6 O; w6 L9 ]' Z+ |
    订购代数
    4 V* f1 w6 i9 s4 B' _  M& V' P有序阿贝尔群' y( b4 `/ I5 Z2 x$ g
    有序领域; R! F! f! a9 f$ v. R$ v& u
    序群
    : D3 g! i- ^: k有序半群/ k5 h" V! f) E1 h  ~" o
    与零有序的半群
    3 R+ P1 h$ k5 D! \1 K9 }有序环
    % k, C7 W7 q) }序半群,有限序半群,有限下令零半群
    * X) {8 y" P& Q  P& c. E" F& q: |有序半格,有限下令半格' L: B6 u/ I0 ?/ F
    有序集0 [1 [6 A* S  P
    矿石域4 H5 i& g+ K2 Q( D4 Y5 y6 o% e
    Ortholattices
    # ]9 U' z( t% k1 s: a+ N$ U正交模格
    $ G' j, V0 w' I! e) ^4 Sp -群0 H5 x: V0 y0 T# y4 N
    部分groupoids
    * M  H( D) C- l8 b% ^- ?9 T/ z部分半群
    + P) z& W2 P) E部分有序的群体
    1 H* ^  O& U! g2 N: T; f. `" C4 B, R部分下令半群
    / S) h# v/ |+ k, }" c部分序半群
    $ \* Q: Z) V' b: \: F3 w部分有序集# [, `8 y1 R; @( F. x3 v
    皮尔斯代数
    ) A6 `2 Q1 m" x) T+ hPocrims% r; L/ B+ H. X9 w- m1 H. b: T
    指出residuated格
    5 y: ^9 Y2 o. p4 FPolrims4 l. i( e6 z' J/ v  g
    Polyadic代数6 n2 Q2 x4 S8 s, [% \+ V
    偏序集
    : x: D' h. p# L" I% B, B$ W邮政代数: p1 B- g+ ~. e% Y5 f
    Preordered套
    8 K$ R% e: }7 p4 T$ A. e1 P+ u普里斯特利空间
    : _/ d2 @# l2 n+ r# P3 t主理想域& b6 z- f# v# Y6 ~
    进程代数# L, D; t4 j" W3 G! v, Z  y6 v
    伪基本逻辑代数* i4 Q. \  O% S0 x$ y5 j. P
    伪MTL -代数# d- Q5 I+ J+ |3 z" _; C
    伪MV -代数* N$ y: o2 Q6 \. _2 a
    Pseudocomplemented分配格* n: @( k( R+ a8 }
    纯鉴别代数
    , T  u7 d2 C6 jQuantales& v4 f1 _* A/ ^, w, g4 {; H& L
    Quasigroups- q$ f' H" L) f$ w" h/ g* `
    准蕴涵代数  B' m! U5 L. b, s
    准MV -代数
    ( `& f1 K' D" `$ c7 t, ^准有序集# ]& b) b$ t% i& n: Q% H$ X
    Quasitrivial groupoids
    # w( f; d/ J9 w6 `2 n矩形条带1 r# i0 H, a; K) e0 R
    自反关系1 i4 y# D/ w) e
    正则环
    ' u$ W' L) E8 x' w' P) A正则半群6 O, z" T6 B5 N
    关系代数
    ! l: Q- `: `4 q' Q3 ]+ j2 ~! k相对Stone代数2 l$ f0 [( N& v( o$ K% j
    相对化的关系代数
    & U& a! l$ I& ?* `6 J2 U表示的圆柱代数4 H- x/ M* Q& Z) N
    表示的格序群体
    - Q) p- e& J) D2 Z表示的关系代数
    , c& W) N6 B" E/ r表示的residuated格, J7 Q8 z8 W- p
    Residuated幂等半环
    1 R- [2 r6 A4 \剩余格序半群
    3 [+ o; ]" s- P. G' u$ z剩余格
    $ k/ k. f% |! G2 Q' sResiduated部分有序的半群) S* U' M# P8 \2 b% G% B
    Residuated部分序半群  s* B, Y9 ^% f; ~. C. r
    戒指
    0 l/ b" k. [- v7 \. S+ x* F. ~  h$ S4 h戒指与身份2 a+ g% d: g1 G: Z+ I
    施罗德类别
    7 k" [. q6 T. @; X! d. P- A& fSemiassociative关系代数
    0 L0 s) n/ N/ s0 a2 W2 m) }Semidistributive晶格4 z- J5 x2 `0 B4 D1 r
    半群,有限半群0 t/ i  l) I4 Y. K
    半群与身份4 U" B8 E: {& `9 N* h( _
    半群与零,有限半群与零
    & p, S9 g+ p# i. B2 M# L/ w半格,有限半格
    8 ~3 G5 M/ E8 I! {/ F与身份,与身份的有限半格半格
    8 L# O6 I+ B: S) A" m9 _; ~半格与零6 o0 h: T8 h/ i! `. q
    半环6 g4 \7 [" V" s% R. i: X# ^  t; S
    半环与身份
    4 Q+ i$ F! y, g( ?( ~. i& ~/ X% Q半环与身份和零
    5 P( A4 k" [6 W$ v半环与零
    ! C1 J: P) K0 \5 G: A* d3 F0 v连续代数8 Y- B9 d; }7 @8 i& w
    , z1 T9 f3 U: u; p
    $ q" X2 M" v) l" K4 K
    歪斜领域0 b# ^( e* c0 Q" \1 s
    Skew_lattices& W/ V& D7 o7 _1 ]6 k( J/ O! |0 j
    小类! j- b/ p4 K! o' Y1 e+ {
    清醒T0 -空间8 Q. C; H+ N& @8 \3 a& m
    可解群+ S- U. {2 b# v4 O' M" ?
    SQRT准MV -代数. ?( P: E, N2 K9 @0 ?
    稳定紧凑的空间  [' b4 t( F. p; w0 d  `  S$ a
    施泰纳quasigroups
    6 l* `* s9 @5 N1 @+ P; i' GStone代数& Q5 S  ]5 s2 G+ X0 y, \
    对称关系
    / v. T+ D: x/ I. _/ ?, HT0 -空间
    0 p6 y4 P; }5 l5 T: gT1 -空间
    5 U, Z  f7 u2 \) g, ~T2 -空间
    . s* U6 Q5 \& z7 h+ H  }塔斯基代数! q, C* }  s5 n! P4 U8 P( I1 _. x' R
    紧张代数" {* [3 I) \" E/ ]1 y5 m/ s1 m* C
    时空代数, E3 f; ]# d8 K& q) [4 `. k
    拓扑群
    9 }: z5 U& {* m0 q6 M# W* f拓扑空间# Z9 X" M. O, x4 X" X  D
    拓扑向量空间2 n* n/ l7 F6 C. z9 ^4 V
    扭转组
    ' e5 T) x1 d6 W/ U. R全序的阿贝尔群
    1 n- O8 H7 q& v, R: B1 B' U全序的群体' w, z* S# Z1 k$ p% F# B* f& C% J
    完全下令半群
    5 z4 j% q& V& zTransitive的关系4 F' z% w- ?. W7 s% ?* X
    & R/ J" q9 H( W) b7 z/ R. E3 \8 I2 ]$ W2 a
    锦标赛9 r+ l; u" X2 V% o2 ^
    一元代数
    8 n( V# H9 B5 p. M唯一分解域, Y: B% r' u: n# G  U+ _) O  g& g
    Unital环
    $ i$ C( [' U2 u* J; f向量空间- r3 e& n& Y1 _' C
    Wajsberg代数
    + d% w9 _! t; r' r% [) q- Z3 eWajsberg箍7 y+ c2 l( m! w2 i8 k; t* T1 _
    弱关联格
    3 W  i8 Y# I& A$ |% Z弱关联关系代数- O) H% J, ]- i0 O
    弱表示关系代数
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