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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
    ; H% p) x5 h6 k

    ; j' g. N5 T( q2 Q/ v# H) [Abelian groups     Abelian group
    8 _+ }! {2 S) C' F3 [0 y: iAbelian lattice-ordered groups, b8 V5 V# U7 z$ `  K, H
    Abelian ordered groups! N, U6 g. D  B% Y* Z; v0 e* w$ ?
    Abelian p-groups% L) j' X" \3 b8 y) E/ X) y3 @1 p
    Abelian partially ordered groups
    3 \+ A& N7 y9 LAction algebras     Action algebra" P- ~' g2 z; ^2 V/ m" `* O% G
    Action lattices; `) v! R6 q" u; {" e9 ~: r
    Algebraic lattices
    ) N8 Y$ ~( W. u" D$ \0 WAlgebraic posets     Algebraic poset
    ) }8 S+ B! S- }5 b2 [Algebraic semilattices! U8 X& `8 Q" \
    Allegories     Allegory (category theory)
    - W5 l: Y) Q* j; S/ z; LAlmost distributive lattices% \6 f0 H( e, ]2 J0 E+ f, l
    Associative algebras     Associative algebra+ F" B1 w" E. n$ U
    Banach spaces     Banach space+ G3 V. H5 A/ X8 z
    Bands     Band (mathematics), Finite bands' D1 Y6 y* }. i* z0 A2 C( j
    Basic logic algebras/ ]& g# v) @6 S- F- C
    BCI-algebras     BCI algebra
    % [3 J/ q7 s! v* r& @9 @BCK-algebras     BCK algebra
    : O/ M. s! E8 Q+ T2 ]( W' hBCK-join-semilattices
    $ y# v4 E+ w' Z3 F' O3 D) m( w9 T! U$ sBCK-lattices: {2 f& x4 z" f$ H& F/ u
    BCK-meet-semilattices
    6 h$ P) s( [* Q  d: B5 CBilinear algebras
    . n7 @5 g5 e& e4 z* h6 Q$ kBL-algebras7 h1 g/ ]; T3 n  ^4 ^4 L+ {; r- h0 \
    Binars, Finite binars, with identity, with zero, with identity and zero,
    2 U% A  Q3 v( Z. j% b$ dBoolean algebras     Boolean algebra (structure)
    . a/ S; ^; c, p+ \Boolean algebras with operators
    2 E0 @+ x) {2 E+ IBoolean groups
    " z2 v; h8 l! z) |9 Q' DBoolean lattices( ?0 A+ I( q  m  P
    Boolean modules over a relation algebra+ l4 m/ I& `! H
    Boolean monoids
    3 U2 S2 \( A: F4 O" `% |Boolean rings
    . n% Y) ~8 |$ o( I) x; Z' uBoolean semigroups
    1 C5 E: x# E, a+ f, \' b3 uBoolean semilattices/ z% \9 m  V/ n) I
    Boolean spaces
    % {$ s7 o. r* R# q' B8 ?. b$ ABounded distributive lattices( ~4 J: o$ n; o/ R/ e- r
    Bounded lattices
      l" J: U0 E6 l. }, }- pBounded residuated lattices
    , x8 M9 x' X' ?/ sBrouwerian algebras; \4 n" h! T& }( \! k$ Z
    Brouwerian semilattices
    6 V# q7 |3 o4 R, GC*-algebras
    8 V9 ^% p% a% G" CCancellative commutative monoids
    , T& ^9 ]& A! i3 H# A$ [Cancellative commutative semigroups; I( L0 T$ ~6 A% }8 m5 N; h" Q
    Cancellative monoids5 s& g! B/ A8 g3 V7 o
    Cancellative semigroups7 d% {0 ~( R" [7 p2 b
    Cancellative residuated lattices
    1 \, `& i1 V3 FCategories7 |8 M* W: H8 i' F+ Y5 r
    Chains
    - K$ C2 k- F  \7 m- P( U. zClifford semigroups4 g* q1 S+ x) t! N( N- n' i, a. T
    Clifford algebras
    , U0 K% k/ G3 E% m7 }: PClosure algebras
    9 j6 c7 [! G, {2 Q9 O8 o0 H/ c4 eCommutative BCK-algebras
    9 Y( |. t% g0 `: ?5 a' Z) U# |8 W* `Commutative binars, Finite commutative binars, with identity, with zero, with identity and zero 0 w" X4 `' q# T( N/ n' p  s3 N
    commutative integral ordered monoids, finite commutative integral ordered monoids$ j7 t; m$ J3 O8 s$ J7 r6 z- Q
    Commutative inverse semigroups
    + B/ w" g; e# ]. ]Commutative lattice-ordered monoids
    : L  W$ }& o  y8 \  L2 c  jCommutative lattice-ordered rings
    ' w( W% T; u# [1 x6 c& _+ HCommutative lattice-ordered semigroups; j4 [, E! Z2 C
    Commutative monoids, Finite commutative monoids, Finite commutative monoids with zero
    $ w4 i6 e! ^+ R1 b$ G1 Z. h  zCommutative ordered monoids  ~2 o/ G: W0 f( X
    Commutative ordered rings
    ' B6 v" V8 v* S0 z. R" I1 c- dCommutative ordered semigroups, Finite commutative ordered semigroups4 J! |8 ^' j$ V6 [5 K
    Commutative partially ordered monoids
    - e$ W1 U+ w. pCommutative partially ordered semigroups( ~( b. x) v; `+ C7 Y6 x1 G, ?* n
    Commutative regular rings* f0 W6 O4 G) C2 L0 n' f
    Commutative residuated lattice-ordered semigroups& v# u2 G  h0 |$ ^5 q! v. t3 p9 c
    Commutative residuated lattices6 S9 P8 h5 ?/ Z/ [* K4 U, D9 N
    Commutative residuated partially ordered monoids# X5 C- J$ \& b9 q5 N
    Commutative residuated partially ordered semigroups
    5 {# f( U' B! K8 x1 _& LCommutative rings  w# a+ w: s1 S, ]/ R
    Commutative rings with identity7 E& ]: f. k, l: J( {
    Commutative semigroups, Finite commutative semigroups, with zero5 Z  d, J- Y& D+ ?2 A) z& w
    Compact topological spaces& Y5 j* o! L% |. S
    Compact zero-dimensional Hausdorff spaces
    3 F5 `- x. r! Y, {/ P/ WComplemented lattices
    ! t( G, I2 g$ OComplemented distributive lattices" Q; D2 U+ Z" v- b
    Complemented modular lattices' _" j$ K# g2 ~2 y- D
    Complete distributive lattices; u1 I  j& O, A$ F
    Complete lattices* y* k$ ?% q6 X% e. ~' O' ?
    Complete semilattices
    ; s( U6 E! X; f) Y, i! p6 g& sComplete partial orders/ p0 M7 g# `9 _4 l: q: c" p* B
    Completely regular Hausdorff spaces
    ) R) J3 X9 _& Z9 ?! p6 A5 M( S- FCompletely regular semigroups
      |& |0 h0 b9 R8 EContinuous lattices/ u. ~" H# L0 S: f' ~
    Continuous posets4 K: Z9 ^. w0 k; E! g, K" ]% w
    Cylindric algebras
    # F4 f  O6 t6 j" X1 R8 T6 KDe Morgan algebras- t0 P% J; h' @1 R* n
    De Morgan monoids
    4 a# R2 Q/ S# @& a* q0 X3 U: jDedekind categories
    , F; P2 a$ b' y. Z* `5 HDedekind domains
    , j1 f  L+ i$ Q5 D2 [Dense linear orders( V; K" [+ `8 q7 j+ p' x  T
    Digraph algebras
    & O' Y; p' L6 K% p2 \Directed complete partial orders
    1 g& y! Q9 Q9 Q( e& {5 X. ^5 PDirected partial orders9 d, N9 w+ c' R2 y$ t
    Directed graphs
    , P1 F0 C/ T( \2 h: o: iDirectoids
    2 u. q( U+ S9 UDistributive allegories
    7 o- U0 S8 Y$ BDistributive double p-algebras, K5 Z2 N. T# R: d% J
    Distributive dual p-algebras
    : }+ Q6 S! R7 LDistributive lattice expansions
    ; Z5 G2 C! Z% n1 q) B8 {$ nDistributive lattices
    5 Z$ L7 R* E1 Z, _) J  c4 w  dDistributive lattices with operators$ R% l$ @5 W- }5 d& u. s  ?
    Distributive lattice ordered semigroups
    9 H  Z0 Q4 W9 A: }Distributive p-algebras+ e: L# {+ [+ ~4 }; c% v9 N7 I
    Distributive residuated lattices
    % J1 J' R: C0 @  K+ kDivision algebras
    4 Z/ V# B$ R% g  v% w7 T! w$ uDivision rings
    ! L3 i6 R* j( O! N3 W! E( [Double Stone algebras& H% {# l) I$ d4 R1 Y$ M8 n
    Dunn monoids
    * b/ A" Q2 E- G' IDynamic algebras& c7 [/ K; H$ K5 l" \2 I4 J+ Y
    Entropic groupoids- h; N+ @$ H. G3 x5 F4 `
    Equivalence algebras
    " C9 _2 C; b4 `2 wEquivalence relations
    9 {5 h: v  i6 C" G" Q( }! CEuclidean domains
    1 l4 F' e$ s/ q( l9 |. v3 O$ ?f-rings% A! T8 k$ Y  O* A8 |
    Fields
    3 `  I0 B' K7 g9 [! }" g! yFL-algebras2 f/ X7 w( }/ i" h
    FLc-algebras: P6 h9 O- C1 o9 X: G4 U2 Y. m
    FLe-algebras
    2 y0 m- L" j4 I6 L+ ?FLew-algebras" {; V+ i" B5 r9 x: H8 v8 b
    FLw-algebras
    2 B1 E/ C9 h0 R9 ^8 k* b! iFrames$ v/ V$ q2 {$ C1 c4 m' \
    Function rings
    : c. X8 A! v# i" h) N! h+ FG-sets
    - ~# M. \/ d5 ^; L( uGeneralized BL-algebras9 M5 |! d/ x0 N0 [, B
    Generalized Boolean algebras4 O% e7 L, T! R9 _5 b, v4 L
    Generalized MV-algebras
    ; v5 n/ Z0 l% c) f" ]; _Goedel algebras) Q. ^! u6 C: v9 _3 F
    Graphs; X- R) }5 P& X, B
    Groupoids
    : @4 j, F" p6 UGroups
    , p  P2 y; i0 EHausdorff spaces
    0 f- F3 \5 H! e: M% s/ n5 ^* IHeyting algebras
    ' Z. X9 S; V, v+ i9 L; G- \Hilbert algebras
    ' Q$ p9 b' x1 E2 R9 s$ L! W- Q9 cHilbert spaces
    * C# Q0 n, z% p( M0 D2 v4 _8 l% \Hoops
    - Q6 N% k: _* f- y4 [( YIdempotent semirings
    9 j) c3 c8 z$ k, N7 D% MIdempotent semirings with identity$ t% B8 o, |% K' ~* W
    Idempotent semirings with identity and zero
      ?& k1 V7 w- V" s; qIdempotent semirings with zero
    1 T& ~* K5 j% E' ~+ X( dImplication algebras% d6 I2 y# u" }
    Implicative lattices7 n0 P9 C" W8 C/ U
    Integral domains
    ! a' h- L6 ^6 tIntegral ordered monoids, finite integral ordered monoids9 W7 {6 |2 W8 d: Q
    Integral relation algebras; i' ^' B( E! M& W& p
    Integral residuated lattices
    ' u- O, Y1 y1 i5 T$ \/ R( |7 J. eIntuitionistic linear logic algebras
    ' G, h; Q1 x" \+ f# ]7 C7 YInverse semigroups- O( i  B, X) p7 |
    Involutive lattices' w7 I; U4 k- o! @2 \# w
    Involutive residuated lattices
    ( n$ [' d( w/ `Join-semidistributive lattices2 _) [) r/ S0 b; e0 A& h" _
    Join-semilattices
    , z( g! e; p$ E7 |! KJordan algebras
    * I' [0 T" f, C4 sKleene algebras
    1 b8 p' b3 T/ ]- a: x5 MKleene lattices% n$ d6 f1 M' I. ^$ W* r3 d; Z
    Lambek algebras) j+ Q2 e) g# W2 n( k
    Lattice-ordered groups7 t; Z* |5 R& O
    Lattice-ordered monoids
    8 P1 _; `3 G5 E) H8 |- \* K4 nLattice-ordered rings
    & A6 T8 P: R. ?+ K8 p6 ^% k$ lLattice-ordered semigroups6 ]: i; C" p9 y/ j9 u
    Lattices
    2 _' l' r7 D: [* L+ b; ~& x8 k9 @) M4 bLeft cancellative semigroups
      y7 ~" ~9 Y' z, j  w) fLie algebras  N3 {% U: n# u4 c
    Linear Heyting algebras
    ) I# q+ I, x8 B+ a4 `Linear logic algebras
    ' ^+ Z+ `/ H0 s' W4 i! @- ELinear orders: H# r" B$ P) ~+ m5 p
    Locales2 a3 F2 P  U8 h1 Y2 r
    Locally compact topological spaces
    ' Q1 z3 S- w' e; o( p7 JLoops1 c1 Y8 v$ r/ c6 l6 h; Y
    Lukasiewicz algebras of order n- x: L! Z0 s' _, U
    M-sets9 ^* G& n8 j" {1 e; Q: e
    Medial groupoids) L7 N* z0 m- e' |8 L( x
    Medial quasigroups5 k" e% i3 G0 Q( n- |. k+ m% h; d
    Meet-semidistributive lattices
    ( ]8 M8 s5 s. a/ d  y; I$ kMeet-semilattices. Y; S5 j! `# l
    Metric spaces
    ! j" b; v' m5 b6 @2 \5 m" N  j  a; QModal algebras) o& K' T# q, b& d- `( I
    Modular lattices
    $ ~  {! _: i6 G# q8 ~Modular ortholattices+ e: B! S& z( N; k* P7 a# i
    Modules over a ring
    $ L% m3 j! O2 E/ l9 Z) u$ F; yMonadic algebras8 ]$ s$ I3 q) b$ w8 i/ x0 U
    Monoidal t-norm logic algebras, U: o( I$ H, }8 t
    Monoids, Finite monoids, with zero4 r8 k  H4 v3 f( B
    Moufang loops  V; t0 K! |5 z4 e
    Moufang quasigroups% _- @- c7 \' L; @# l! a* O  ?
    Multiplicative additive linear logic algebras* o3 [- ~; z; ~8 s3 r1 H7 j/ I7 @% x5 {
    Multiplicative lattices( T" U6 U' B% e
    Multiplicative semilattices
    / z3 }( j. E$ j: lMultisets
    1 ~: ^! Q( k) W7 D3 f3 i' c2 JMV-algebras9 q. y3 b7 }: F" P
    Neardistributive lattices, l- x* j; H0 K2 b: @0 F0 w
    Near-rings
    % n7 A& H7 E+ F6 O: l8 x6 T% Y5 ?Near-rings with identity
    # I& l% N) R, S6 wNear-fields
    5 `% g+ q+ w4 u! s8 wNilpotent groups3 O: i- O: {' l: R( A0 B
    Nonassociative relation algebras
    5 M# x8 A5 M$ w$ nNonassociative algebras
    ; c, h* \0 [/ R+ x9 eNormal bands
    ( V& M# B' T# P2 v! D" \- d' SNormal valued lattice-ordered groups5 I5 l7 ^% }) H  M: P* R) f$ }
    Normed vector spaces
    " D9 P# D5 @4 K% vOckham algebras& _* `* O6 }+ G) d4 B; ~
    Order algebras, P" X. Z5 v' c8 q5 J3 v. V' t
    Ordered abelian groups) t& z* O1 ?' t
    Ordered fields, u7 p8 G# d& L, Z  l3 v
    Ordered groups3 M; Z( o/ |! R1 u( W( m
    Ordered monoids; @+ e1 Q7 Z! O+ E
    Ordered monoids with zero" \* J# Y3 n4 v( Q- i$ p9 l7 R- F+ O
    Ordered rings
    5 k2 E  ?" b- @0 P$ d. ?. S6 `Ordered semigroups, Finite ordered semigroups, Finite ordered semigroups with zero4 z6 n) M, T) @) Q) Q
    Ordered semilattices, Finite ordered semilattices
    / V$ r# H- z9 G/ yOrdered sets, W; V8 p* d2 ?2 \
    Ore domains
    9 l4 o& N$ L5 M3 Z5 HOrtholattices
    9 L7 q0 I  S7 d, @Orthomodular lattices2 H0 K6 ?) M& y1 |5 R
    p-groups
    0 ?4 K, ]2 W& d1 W. ?& {Partial groupoids1 I: S8 R; N6 T2 T
    Partial semigroups1 Y/ F" j- {# y! S* ?% w& Y. m' g1 t
    Partially ordered groups- |4 p- f. f( n3 f. H
    Partially ordered monoids1 V# [% [9 o+ Z# `, \
    Partially ordered semigroups! \; y: C( ~3 g! |1 C9 _/ h7 W
    Partially ordered sets( T* ?" t; |7 b3 R' a
    Peirce algebras: s4 V3 G4 s/ K7 f1 ~/ N
    Pocrims
    3 h$ o9 {  j4 R+ W1 s" gPointed residuated lattices& S! S$ v$ ]7 o: x
    Polrims
    % k/ G. ]1 l# E2 |( d; C$ tPolyadic algebras
    6 H: a2 m  v: S* ]  d* u) a0 \: rPosets
    . b" E& e/ z3 W8 m, m$ \6 A; EPost algebras
    9 N& w/ ^- h  {6 V) l3 DPreordered sets" \9 h" L9 W; i  m, [5 p
    Priestley spaces3 [+ d+ s6 F) ]- E( k, [2 E
    Principal Ideal Domains
    / E1 Y5 d, `) n4 A6 yProcess algebras/ r! _' C* _% e' g7 e$ d, k7 Y
    Pseudo basic logic algebras3 o; J9 @' {; a% J" K, |* E
    Pseudo MTL-algebras
    * @- \$ E. Q. `9 s- k# i5 uPseudo MV-algebras5 J) n$ z6 P. Z! F. L8 n
    Pseudocomplemented distributive lattices
    + Z1 ^1 M" p( `1 i9 M. `# RPure discriminator algebras8 j) t# H: a4 o: {; }3 P# {) v( z
    Quantales) b$ h+ e' ~- R' W, r+ R
    Quasigroups
    1 [, ^% }# _  t4 f9 V0 D. o5 z8 }7 VQuasi-implication algebras0 E( E% e3 Z9 s/ R
    Quasi-MV-algebra- h& @0 A0 u9 ^& X0 U. w, d
    Quasi-ordered sets9 q- z- ~. b* F6 g- {, g
    Quasitrivial groupoids
    ; {8 m3 @; B) Y/ q  L( q( PRectangular bands& _6 D% J4 X$ a% y$ Q
    Reflexive relations
    1 E) J- x. @: z! RRegular rings
    ! C: ?1 j$ u+ tRegular semigroups
    9 ^7 M, s' X8 w. V$ X8 dRelation algebras
    ' Q2 ^& W& F# {8 D2 [- T, TRelative Stone algebras9 O- U5 O1 C  y
    Relativized relation algebras
    / Q2 V- L* Y8 i6 j9 @Representable cylindric algebras
    / _# a! g9 o- `( `4 kRepresentable lattice-ordered groups4 K# g* B& U7 w/ U# K
    Representable relation algebras5 a% b5 l; ^6 d: l6 r$ B
    Representable residuated lattices
    ' {1 D. B% S  w1 H% SResiduated idempotent semirings* l% w* f" s9 U7 D  s5 K
    Residuated lattice-ordered semigroups- h( k0 j3 {( |" i. L
    Residuated lattices: c& s  `" D6 @1 L. M( E
    Residuated partially ordered monoids
    7 o1 j$ h3 k( p6 `0 J1 m9 A9 |Residuated partially ordered semigroups
    0 G' U3 A% }" o! c: |Rings5 f' }1 A* F' d- X/ G0 ^$ A* ]
    Rings with identity9 J1 x! q+ p) A% T2 O# w9 c
    Schroeder categories
    + s  }: b- c& LSemiassociative relation algebras! D* Y8 U4 M5 \! m8 K7 W# E
    Semidistributive lattices9 O- n- c( r% O) T
    Semigroups, Finite semigroups4 u* e: }- j  f' c, b
    Semigroups with identity, O  r2 v, i# e  M# i) x
    Semigroups with zero, Finite semigroups with zero8 L" W9 G- |$ c  W! t
    Semilattices, Finite semilattices- ^$ n1 M# c" b/ S% G8 a& d
    Semilattices with identity, Finite semilattices with identity8 @4 V/ D& g2 d$ O# A
    Semilattices with zero7 ~& D8 Z3 Y' w: g, V4 }
    Semirings" q  i+ S- \& m
    Semirings with identity
    ! G$ j+ x* f( OSemirings with identity and zero# r; @. `8 P( \/ X0 o
    Semirings with zero
    ! i2 k& P( [# Z2 }Sequential algebras$ |5 n3 E8 y: O. z8 H! c' N
    Sets+ |9 z0 F7 Q3 G7 ]9 W6 I
    Shells
    5 _& U+ e, k* U2 X' v* ZSkew-fields
    1 p) E/ q6 w8 H. l. l; ySkew_lattices
    $ k. S3 s2 f- h. E8 nSmall categories% O: E6 p- Y  M4 E! ^
    Sober T0-spaces
    & Q$ ?: t" n; p% qSolvable groups' G$ h7 H3 J( X' j3 J1 @- i
    Sqrt-quasi-MV-algebras- k5 a* g5 `6 A
    Stably compact spaces+ }* A/ s3 a0 n$ ?- V
    Steiner quasigroups
    # I6 U# T8 B' J1 Z- w8 u1 \Stone algebras! a- m$ z& t- Y0 r
    Symmetric relations8 h, j- i+ T. x: z9 N
    T0-spaces
    ; \& m9 f2 @& j4 \! j" cT1-spaces# W% p( k, ?7 g9 S; G, [. s( R9 W
    T2-spaces
    6 ?2 z9 Z- \6 i4 r- sTarski algebras
    ( @( d  G% y# jTense algebras
    ; l- _3 @( _  t# KTemporal algebras
    ) f  E  R- \: L2 e. h+ RTopological groups8 \) v( Y# e# n4 M1 I0 ]9 `& D
    Topological spaces
    7 z5 a+ |' N3 f7 J# iTopological vector spaces
    ! v; t( R  c1 r% tTorsion groups) K  g$ f. q6 |% i
    Totally ordered abelian groups
    5 ^8 F' q# L, }9 G. J; {5 lTotally ordered groups1 n3 V1 P* e0 n  |/ q! S
    Totally ordered monoids+ `  t' E3 F( Z+ C/ k: A
    Transitive relations
    9 N$ t/ \2 Y4 a4 {2 s3 WTrees; E4 V& c9 |# ^
    Tournaments0 p, H5 g! I. q$ B1 v+ P/ p
    Unary algebras. M) k; |) R0 ]" R% F. o/ Z+ @
    Unique factorization domains5 V  J; F$ K+ i2 |% O$ R
    Unital rings7 ~3 F4 S9 p  {
    Vector spaces9 |9 ~( D1 e! k0 P
    Wajsberg algebras3 [+ w$ L1 e5 [
    Wajsberg hoops/ F0 _; G& Q9 k' C: _7 x6 X
    Weakly associative lattices
    ) F5 a7 C- ^+ I5 ?5 ]8 x9 JWeakly associative relation algebras/ g, \. y; l! J5 r9 e% {, h5 W2 i
    Weakly representable relation algebras
    4 L3 E/ F! k) K, q; W, B! E; l2 S# A
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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, Y8 ?5 `& P% Z- k+ v
    阿贝尔格序群
    + z: e4 B5 v  F; D阿贝尔下令组
    0 ^. C5 x. K1 s5 m& K- N8 P. _8 f阿贝尔p -群7 M: ^1 P: M4 m, r  b3 V
    阿贝尔部分下令组1 `5 {% Y" L# b
    行动代数行动代数4 y  D0 @: B! J1 G4 Y+ F; G  Y
    行动晶格, _7 @: ~5 y: [0 [  y- q% R
    代数晶格! q7 R8 t" P! J
    代数偏序代数偏序集$ z, S& h/ U& ~) [$ a; G' U
    代数半格& e( a  r; H2 X2 ]5 Z
    寓言的寓言(范畴论)
    # [# g+ S9 @: K9 |; e几乎分配格# }- N1 J* q$ _: B
    关联代数关联代数
    5 ]8 ~0 d& N" k6 I: ?) u- M0 CBanach空间的Banach空间; f) R- z# ?7 M. n
    乐队乐队(数学),有限频带
    % b( }5 P5 K$ l* v基本逻辑代数+ t$ n* ^( {- y1 ~
    BCI -代数的BCI代数
    " E( U  U0 ~( E2 V) nBCK -代数BCK代数
    3 I8 A; V* T! G3 ?; zBCK联接,半格" w! t( V2 E9 s! f! s) c
    BCK晶格  J9 @+ @* J" Q" O+ c' j( c
    BCK -满足的半格3 J1 j3 E1 m5 `8 W1 h1 K' H
    双线性代数
    + d' [* e% l8 Q- n# x  X8 e% yBL -代数
    . O' |+ D' a# M& R/ c1 k. RBinars,有限的binars,与身份,身份和零与零,
    # A* _2 I4 l6 a/ B6 r布尔代数布尔代数(结构)
    : v+ R! V! q( s' M7 x# X5 m! K与运营商布尔代数, _' b7 p/ |0 ]# u) C
    布尔组2 v+ P" W1 U: A' L) t
    布尔晶格
    : b) {( }$ e1 T" R' C对关系代数的布尔模块
    ) T% \* h/ {" n) Q5 K4 w布尔半群
    : d& y3 }2 n0 M6 z) [7 Y; w; H布尔环  F! j$ D" K4 x' M
    布尔半群; J0 S1 Z) J4 Q, o, ~
    布尔半格
    ' e- B' v7 b' {$ \布尔空间' X" m. ?* o: Y6 i$ j
    有界分配格* Y. e, f) F/ q0 n; j  ?7 j
    界晶格
    & [. f/ y; ^- ~% R界剩余格* o/ q% y& X- ?
    Brouwerian代数
    + k* h/ Y$ M- ~0 e) ~Brouwerian半格; e7 H$ c$ s$ Y$ c
    C *-代数
    + R! Z8 g/ A3 F9 @; E消可交换半群
    5 |3 G5 p6 D9 o( i- I" i消可交换半群* a1 L$ L5 s' e, Y
    可消半群
    $ S) Q' j9 F$ }+ X2 [' D1 y2 P可消半群% V) H1 f7 j* b7 Y9 H+ [
    消residuated格
    + e' O" \+ W1 Q4 y1 U) V分类
    ' _0 X' z$ _0 m- a5 C* m
    0 M+ k8 C% b6 j" V克利福德半群
    ( q  c# t: `+ T' O7 `  fClifford代数
    / R' {6 D5 O1 b+ T2 ?2 F封闭代数
    + D% s2 E) y! @; _) u/ e4 H可交换BCK -代数
    " U8 n; f% A% r4 I( q交换binars,有限的可交换binars,与身份,零,身份和零! L" [" ^6 W+ r* `
    可交换的组成下令半群,有限可交换积分下令半群
    . O/ z8 q- W% \3 a) m! s& j8 n- x交换逆半群0 J: I) P: W4 m5 z' W0 y' H6 ^6 @" ~
    交换点阵有序的半群
    " S1 O) k9 }7 Y8 F. d/ y4 w1 b交换格序环1 J3 ~& E5 u/ N- S' A+ _9 F
    交换格序半群
      o8 a9 i' ?7 q7 |, @交换半群,有限可交换半群,零的有限可交换半群7 X/ T+ i7 d! O- H0 e
    交换下令半群
    5 A, U1 |- m  n) ^' F" I5 W交换下令戒指
    ( W2 C$ I. N! D有限交换交换序半群,序半群& V6 G2 |1 J# U. e9 w
    可交换部分有序的半群
    : L7 c! c# k! o" B可交换部分序半群' F8 W# z8 d% Y8 T
    交换正则环
    . H* D# ]8 p# |: L: F4 S  d  C# b2 j交换剩余格序半群; @) W9 A$ k7 D* z: G  W
    交换residuated格1 o0 Y# W7 F& B1 Q# \, [
    可交换residuated偏序半群, Y/ y; ], @: q1 P+ v
    可交换residuated偏序半群
    # s  f8 ]7 U* J交换环
    7 n# x8 k/ Q! H" _与身份的交换环2 P+ X( s9 y2 C) N
    交换半群,有限可交换半群,零
    9 g! N% z& e7 E; o% C' V9 @紧凑型拓扑空间
    1 O: z+ X8 J) o$ F" k# B- S紧凑的零维的Hausdorff空间- o/ w- q7 w' Z5 i3 l
    补充晶格
    0 O/ b/ [: F8 l$ e3 U. Y# H( \有补分配格; f  S1 S% M; G* C: I
    补充模块化晶格. n3 U4 E: Q/ I* T1 o( H
    完整的分配格) u/ V1 Q6 q  l% x% x% X* ]$ Z
    完备格
    $ }* ]# r7 F6 r$ u+ C& A完整的半格
    3 E: h# f" F+ r* `9 Y完成部分订单
    ) q+ |! E8 M* d! h( k完全正则豪斯多夫空间
    & U. F  S7 x# @  R8 a完全正则半群
    + A, J" P, B: u" @; T连续格# ^9 {- `" W6 p" N5 g
    连续偏序集1 A, p1 w* N! I* z; u: [) o
    柱形代数
    " }! @* d$ C& x' Q6 M德摩根代数; j; R7 [% L% H( J0 C3 \
    德摩半群
    ( v) ?6 E& x+ @  G戴德金类别" i- ]1 h2 P- t5 U/ U
    戴德金域
    ( g! a. e+ M9 s6 b4 a# V稠密线性订单; K, T  d5 A7 `+ d6 o, X. v9 Z' E% v% \6 V
    有向图代数
    $ ?: h- D# D1 ?# G. M; X导演完成的部分订单, W9 H2 D3 Q4 ]
    导演部分订单% f4 B9 [- z# l. ~" N: J
    有向图( Q- q+ R* f, o5 T% N) d; J
    Directoids  U4 m' Y# B* O4 H2 D- Q
    分配寓言
    $ ~1 h9 b# Q/ j* c6 g分配的双p -代数
    ! p  u! w, {. H0 Y分配的双P -代数; ]/ w' m7 z8 U  @/ e4 m- \! w
    分配格扩展
    & v! j* E2 b& m  G分配格: L' q' Q1 i- [; p, E, ^/ @
    与运营商分配格& a% {9 K7 p3 a
    分配格序半群
    4 N6 U$ K' H# l分配p -代数7 R$ l+ {  U  @1 q* S/ B
    分配residuated格
    2 E2 @0 I& H8 \7 t( E司代数4 `% s. H. T! Y( y; e+ r
    科环
    5 D- t5 ^$ N" u( d双Stone代数# x1 ^% D/ l2 w  @, X" p8 a3 M
    邓恩半群4 w) }* E& _; h) H: ]7 a/ y
    动态代数
    , l- Z( w) w' B; i% n熵groupoids( R% w6 G( o- G4 E) T) c; c( X6 P
    等价代数% U3 n. g  v) [
    等价关系, r  s- C, D( [; E
    欧几里德域
    . H/ B/ |* i; `$ J, {+ m, A" l& H! ~F -环
    ( ?; L5 r) F  E. ?字段5 a2 Y- x" [$ L" ^
    FL -代数
    7 i. k# c# c# U% n. I* VFLC -代数
    5 l. e2 ~$ m) D/ ~; eFLE -代数
    ! S' ?( m8 [6 v* b" _飞到-代数
    . M' X, c: ]2 W, y9 hFLW -代数
    & B0 \8 D' _, o4 e6 N) w9 @框架
      ~  z, n2 _$ B. W: l( Q功能戒指
    9 G# h0 Q5 @/ f5 S) mG - 组8 t- i. Y$ M; x# i& `5 K
    广义BL -代数
    ; X+ |/ I! _) l, B* E广义布尔代数
    : O, E9 h- O+ {! l广义的MV -代数
    . d% V1 G6 D4 JGoedel代数
    6 G5 p. M* w7 Q( k$ s: ?, p$ z) i4 I5 Y3 s# v9 u6 _% c# H' d
    Groupoids
    ( M6 l, ]9 A1 ?! Z/ y8 W5 g
    ( k, x) H/ L% Y8 ]+ |2 |3 Q豪斯多夫空间/ n) F8 B! e. L6 L3 u
    Heyting代数: F9 g' `. P8 J" s: {/ I
    希尔伯特代数
    # q& x' n1 E9 ~+ zHilbert空间! A! E" A+ P+ g0 z2 G
    篮球
    1 D3 X5 `( I& h" h$ ?/ r* w幂等半环/ G, F3 V- W) m$ _0 k. \
    幂等半环与身份
    ! C5 a) W+ S- e7 p幂等半环的身份和零; }5 i1 V0 c) @( `6 ^
    幂等半环与零
    6 j4 c, P. ^7 n8 a! c% K$ `0 \蕴涵代数
    : `7 w/ j  e6 Q$ w' u* {# I% i6 m9 N: W含蓄的格子, c: }  b# j% Y! p
    积分域9 u: H. I- e, v  V7 @3 B
    积分下令半群,有限积分下令半群( o% W- u9 `3 j& k
    积分关系代数+ E0 s  A$ }2 E3 V( V5 |0 f
    集成剩余格/ R5 r$ G8 \7 y& S1 I, H2 J' s
    直觉线性逻辑代数7 \, f' b2 U% ~2 B! I' n
    逆半群
    , [0 @& a8 l  {, t; n( ]" T& n合的格子
    / ?) S6 P: ?- G; U) H9 s7 @合的residuated格. {2 i3 k: ~: i. J: v* i
    加盟semidistributive格
    1 u: s: U1 E0 v3 ~# N- i加盟半格
    8 G% X2 X* @. I0 o. m3 I* n约旦代数9 w8 \' M+ R) m0 D2 E
    克莱尼代数. K& ^2 Q9 N2 M. ?3 x
    克莱尼晶格, u# q# A0 ]: c0 h5 k
    Lambek代数
      H& t9 U$ {( Y% n5 W0 W6 I# l; o- p格序群
    " w7 w: _' z6 ~  t, W格子下令半群8 `( g7 |$ y4 p) D4 Z4 V6 s
    格序环$ q' }8 h/ D2 [2 S. n0 `$ N8 `
    格序半群
    ( T9 |+ d7 s$ y; \& l" c% s1 p- N- v8 ?! t" g/ _. S6 m4 T
    左可消半群5 C! R7 z/ Y7 A$ c2 B$ M
    李代数- B3 y2 x( B3 q' B( S: `
    线性Heyting代数
    # ^! B0 p$ v' k6 }* B& o1 A" w; t  t线性逻辑代数7 |5 P  M5 g) d5 l; b; x
    线性订单4 H# L/ ^$ B1 K0 }: ]9 v( a) h
    语言环境* O: q- o- ?4 E& ?  j( T/ _6 i
    局部紧拓扑空间
    " j. F" p+ Z1 C. f4 D/ P$ N循环4 v' Z) A( L2 L. R7 K
    n阶Lukasiewicz代数
    , S. p0 d7 O3 R9 hM -组
    ) e" j; y) Y+ d- J) Y. P内侧groupoids# g/ f( m3 _. h/ j- s
    内侧quasigroups% K! W& l) ]. H. T- w# V
    会见semidistributive格
    3 g& L4 B/ [4 V+ C! t5 c' J会见半格) L# t* q7 @" t0 z, ~
    度量空间; f6 Y6 i4 C: B5 R; [; n
    模态代数+ ^0 v6 n; [5 O# {! u
    模块化晶格. b$ v1 q, _) D& \& r! Z
    模块化ortholattices
    ' q: `( j' ^: U' ~, f环比一个模块$ W- [6 N1 v4 K
    单子代数% B9 M: e" ?& ?3 n' `+ T. a9 o
    Monoidal t -模的逻辑代数
    1 v' Q" U& R+ `5 J# L2 n# J; m8 M/ ^幺半群,有限半群,零* d- M4 \. `: ?0 t
    Moufang循环
    0 o7 c. n$ k8 BMoufang quasigroups
    ' u. H+ M3 }( B; }* A2 z5 {乘添加剂的线性逻辑代数/ M9 G( o; i6 H; ~
    乘晶格; W* U- c+ r9 b' |( }
    乘法半格
    - ~2 o$ m9 t5 N' d& ~多重集
    8 c- q7 ^( {$ VMV -代数$ C9 A+ a$ X8 x+ o; q$ F2 ^
    Neardistributive晶格( W5 r  I6 v9 V( L
    近环
    : c3 [1 R& e* L! u6 G近环与身份
    3 z1 L& V; @0 _( c* E' E0 b- Z* {近田
    / D' m: _+ Q7 h2 F9 ]3 p幂零群+ @9 W4 c# v& v6 [
    非结合的关系代数8 Z) e: T" |. O
    非结合代数' @, N2 d3 m4 g: K1 @- ~
    普通频段
    9 _9 P4 j+ v9 n9 m: k正常价值格序群/ x8 V% R* P" J2 V/ \3 J" M5 I
    赋范向量空间( g& |0 j" |, Q- q& W6 r
    奥康代数
    & S3 C( {. e0 K1 }) _: A订购代数
    8 h2 z2 h7 W; @7 @5 ^有序阿贝尔群; B. [& ?8 K, O. e0 h. U: u
    有序领域3 B. C& e4 L8 w: A! ~8 n+ i; ]
    序群8 V: R9 M( f% Y) n  _0 Z* }% s, O' s# l
    有序半群
    & d  }5 s/ X1 W# m: h% x4 x; e与零有序的半群
    & D, x; [& [0 `: i  Q; n有序环7 c* S" d. A* h8 J* A& K
    序半群,有限序半群,有限下令零半群6 l; D3 q# @" y0 H' Q
    有序半格,有限下令半格  n9 J* N5 y, \$ n# C& j! \
    有序集
    0 P$ h/ w5 a: m矿石域
    / n& M3 c* S0 j2 }; I+ _Ortholattices
    $ Y; n& M4 K( Z& \3 {正交模格
    ' o  h: D. o( I7 t& W% kp -群
    $ ~) F( M8 C9 a; ?9 R! d: o部分groupoids
    ) M9 }/ N' F: n1 j5 c2 D  y0 h8 d部分半群5 C3 `# Q+ ]1 r4 [, r0 ^+ a; G5 m
    部分有序的群体8 \% I9 ^. K9 o0 x
    部分下令半群
    # v& j8 A9 A5 E* s- m7 O' ]部分序半群  I$ `1 h$ E8 X. O" S8 o3 \& h
    部分有序集
    * a- Z7 u& |' r皮尔斯代数
    : F9 B+ b6 W1 t  E% S6 C  a' pPocrims
    . S. ?7 z$ t7 F4 p5 p0 \6 M. d指出residuated格
    " M8 n2 f5 E4 w; B/ f: h8 ?' mPolrims
    # q( H4 K" I+ K& ]2 NPolyadic代数* Q  b3 n* U- J+ f
    偏序集& \8 m. ]5 ?6 r# r4 T. e  G6 J  k
    邮政代数% f( A& y: r1 ]" p
    Preordered套
    9 Q5 V* o" |% Q3 g; `5 E. X普里斯特利空间
    : C* y* }! ?/ ~) R1 I. D1 D& d主理想域
    ( F2 s. a, _0 O/ |进程代数% L6 Q% Y0 O  E" p! m' p
    伪基本逻辑代数* |; }2 P$ Y/ V
    伪MTL -代数, c9 A0 q! Z5 y( x4 W8 V$ a
    伪MV -代数+ S" C6 K1 {% \+ K' l$ }; l
    Pseudocomplemented分配格$ p7 }* B& Z2 ?3 d4 r0 e
    纯鉴别代数3 C% A% u0 n. y: E" [9 a- h; H
    Quantales# s+ _# c3 h: j* t5 d+ E" V
    Quasigroups5 p5 ?* ^. G3 C+ B
    准蕴涵代数: N: {9 }+ ?/ M
    准MV -代数: _  F8 x% a0 i1 A+ j
    准有序集
    5 x$ [9 o# p: u. D$ O2 VQuasitrivial groupoids7 n( O- \$ ~4 E' p: j
    矩形条带
    0 f$ U! [5 [' C, a( u) Q自反关系
    " p! Q# v! O  n0 U# D正则环
    4 F& Q1 A* f( i- a: |& ^( B正则半群
    5 E- W  Z  R/ u; T% i: S关系代数7 Q$ ]) f7 }' P2 C1 |
    相对Stone代数' l: q/ k& a" }8 U+ r( F' ]$ i2 |9 o( h0 b5 y
    相对化的关系代数. |* k# G9 x7 o6 o8 F
    表示的圆柱代数- I" F$ j6 D% ]. W
    表示的格序群体: m) G  |8 L$ |2 i
    表示的关系代数. [( [  ?5 O- N: w7 E/ \
    表示的residuated格
    ) x' V- T, y' U4 Q. [$ Z0 GResiduated幂等半环; n9 }2 S' J, w- X; J9 M. y
    剩余格序半群5 N5 L  A" \& U+ L; ~. V
    剩余格
    ; o8 f) p1 n. ~6 h. Q. ZResiduated部分有序的半群
    0 d- w; j: Q  n& h8 |Residuated部分序半群
    ( v0 i: N+ C1 Z8 _2 l戒指  x% X$ a2 H* B3 h0 @& |
    戒指与身份! d/ \! F7 b# S9 v$ M$ h; v0 H
    施罗德类别
    & h- l! _3 h" _- G* ^Semiassociative关系代数# S6 w# U+ o: p. a' G) Y
    Semidistributive晶格
    1 i5 j3 X- \( d; p- @半群,有限半群; o" \6 `; |/ _& J3 Y9 X* R& P
    半群与身份
      h! [: v) P, e$ ?4 j: B/ F% W半群与零,有限半群与零
    8 |3 f* i  L4 z8 b) y" G半格,有限半格
    * X' H) Z- `1 T5 [: z$ @与身份,与身份的有限半格半格2 \* ]& N. U4 t, _- `' A
    半格与零3 |9 J5 m& I; H$ Z  H2 i* M6 X, m
    半环
    ; X+ P5 j4 m5 ]; V/ R半环与身份2 T& B5 w7 O8 j) p1 T3 u  o
    半环与身份和零* F6 v; k/ v; q
    半环与零
    . S/ t+ K* W9 q! o; Y连续代数
    ) |  \/ p$ g( X- w: o* D
    - i/ P3 k" `, O0 R0 ~' J% m  Q, s$ z, |9 F8 r' j) ^6 ~0 N
    歪斜领域
    2 H5 v0 [# R# BSkew_lattices; u2 K/ s9 z( x3 F, v9 }" ?
    小类
    2 ^+ |9 J7 E9 Y' z% U清醒T0 -空间% O# E9 K3 g$ }( p7 f5 I( {
    可解群
    * `2 d& G5 w% f# N* v( f; @. b: A8 hSQRT准MV -代数
    ( @' d1 S: m+ g3 S1 `稳定紧凑的空间( |$ K$ N7 w9 t! f; K
    施泰纳quasigroups5 r7 m- e: p, {7 z4 a: V
    Stone代数
    0 ~& I* F2 y1 F" f, h$ x( h对称关系* m# s3 @- K7 X  C
    T0 -空间
    ) Q( W/ B; Q& G8 AT1 -空间1 Q8 H/ a' A6 Z8 h2 \" q
    T2 -空间( u: J' Z. F8 K8 M" q
    塔斯基代数# B  J/ V  _. v  A2 ]/ P7 |  a$ s
    紧张代数3 A- V4 Y9 d# G/ c
    时空代数$ D# A# i7 o  f8 B+ \
    拓扑群, [/ [7 _6 }" C) o6 B
    拓扑空间
    - P; g7 n) {2 E. Y& n( o! m2 y7 z- V1 H拓扑向量空间
    $ Q4 Z1 U; R/ ]7 t$ ]7 L5 W( B扭转组
    5 m8 k) l% S0 |; ]  d$ \全序的阿贝尔群
    & ?/ s4 s2 D9 e6 d: v全序的群体. Z  @" z, C7 Y
    完全下令半群
    9 L2 i7 q; n9 L$ yTransitive的关系5 m2 {/ r! P, U& T  X
    2 w$ S# M: h- C; [
    锦标赛; ?5 z: o; L( S! z( K. d4 h
    一元代数7 ?9 N" n& t5 b6 q* E  \
    唯一分解域4 |0 j; z. g: I6 C2 ~# y
    Unital环0 Q! `7 a& J$ r+ f' q9 K# p. r$ c
    向量空间7 q+ x" s1 H$ Q
    Wajsberg代数
      f4 c( B3 `0 K' l8 f: c; HWajsberg箍# |2 b4 ~9 f& |9 Q* n' U# U
    弱关联格
    8 ^/ t, y6 O% r! ~- X: a% o弱关联关系代数
    7 B1 n( H( a9 K* d弱表示关系代数
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