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lilianjie        

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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
    $ C2 i% F+ z7 b6 o! `0 Z
    # ~, }' x/ a2 H  @3 b
    Abelian groups     Abelian group
    . q6 e0 k$ e  i" t6 M5 |Abelian lattice-ordered groups
    $ ]# }" x3 B& p/ RAbelian ordered groups8 }! D; ^: t/ k0 I  i( y
    Abelian p-groups/ {" A2 g7 ~2 J0 S7 O* _: `
    Abelian partially ordered groups! u( n! r4 G. M- z
    Action algebras     Action algebra/ _* M+ G0 ?; d; O# Q
    Action lattices' l1 S2 W/ }, z9 \  h, H, p! o
    Algebraic lattices
    " o# M) y3 V9 }; GAlgebraic posets     Algebraic poset$ z8 l! L; O; O" S8 E
    Algebraic semilattices
    * U: M7 P8 }$ O* fAllegories     Allegory (category theory)2 `2 B6 q, F; t& S0 c0 B
    Almost distributive lattices5 i* J, E  L& ]+ J  N% q" O
    Associative algebras     Associative algebra
    $ Z& l6 t+ i5 N3 P/ A) SBanach spaces     Banach space
      v. x! r+ P. SBands     Band (mathematics), Finite bands
    8 l- m- _2 ~8 H" X+ zBasic logic algebras
    2 T( y2 m( [3 w1 }BCI-algebras     BCI algebra8 L  a3 u: W* t5 T* w3 V% \
    BCK-algebras     BCK algebra
    3 |- a" T- R0 z' r3 NBCK-join-semilattices
    8 c( o- P0 C2 l# s) w/ T  HBCK-lattices
    * ^1 x! l/ S7 g% s; TBCK-meet-semilattices$ v0 u1 s7 `+ _
    Bilinear algebras" B: M, z/ T8 d" M" O. d
    BL-algebras
    & ~$ j4 P7 _' Z, |# V! CBinars, Finite binars, with identity, with zero, with identity and zero,
    0 g: y. Q7 [! D- X+ W8 [% ?6 L; |Boolean algebras     Boolean algebra (structure)
    % Z$ d" R& P6 g- P9 X& g* ^Boolean algebras with operators
    9 A7 r( o& Z8 w1 ~. [4 yBoolean groups+ A. a8 O0 ]6 A% @9 v
    Boolean lattices( e/ @- P1 {! h8 p* L% Z" T
    Boolean modules over a relation algebra! D$ A4 K: i  j, z1 @/ L
    Boolean monoids" j) x8 x* j0 g3 D2 ^) v
    Boolean rings0 j1 Z4 U0 ]7 V5 B8 ^; ]5 y  A" R$ w
    Boolean semigroups
    ! [* g2 I" c9 xBoolean semilattices# {+ p* G) y; Q  y
    Boolean spaces
    ; Q' S8 |7 m0 MBounded distributive lattices3 y( v% R, l9 x) L5 `* m4 c1 f- N
    Bounded lattices
    - f3 B. x* Y; R* s. h1 lBounded residuated lattices8 e( U2 {$ p* }- k& _& X- J  c
    Brouwerian algebras
    9 z( s( ?  `- F1 L) |! GBrouwerian semilattices
    % }. `2 F7 x3 a. M: w' oC*-algebras
    ! Y* I6 ^1 k. ~4 LCancellative commutative monoids2 _# ]5 H4 T/ l2 Z0 x$ f* B
    Cancellative commutative semigroups( z+ n+ |# a9 f, W, r2 Q. _" q
    Cancellative monoids5 N* {) g. `% J
    Cancellative semigroups5 K0 J( W* o4 a7 u% f1 l
    Cancellative residuated lattices# l$ @, e$ o* W+ @  R0 B2 P
    Categories3 z  |% }% d- j3 j# L
    Chains
    5 K+ D: @0 b) X4 q! z: [; T- pClifford semigroups. W! h5 p% m2 j9 J8 m8 f3 ^! {
    Clifford algebras
    * H8 u. |/ A; K$ c, iClosure algebras$ R) C' c; h2 Q
    Commutative BCK-algebras; e% w5 c+ L. j$ R# s$ \
    Commutative binars, Finite commutative binars, with identity, with zero, with identity and zero 3 ], F: @$ D3 ^
    commutative integral ordered monoids, finite commutative integral ordered monoids/ q2 {/ h( V0 A: U
    Commutative inverse semigroups
    0 @5 T/ `% _0 B0 V+ mCommutative lattice-ordered monoids
    3 D( r2 q1 Z0 Y- |Commutative lattice-ordered rings
    6 M1 @4 Z" _$ gCommutative lattice-ordered semigroups& q& S5 ?- m2 S# d& @; @
    Commutative monoids, Finite commutative monoids, Finite commutative monoids with zero
    ; b' }7 g* j, Q" l9 o: i/ @Commutative ordered monoids+ ^" F) j! i- g  z- S) `7 G: }
    Commutative ordered rings
    1 {: b5 p& v9 Z1 a- s1 OCommutative ordered semigroups, Finite commutative ordered semigroups, v; Z5 h6 D5 [# u
    Commutative partially ordered monoids
      d$ Q- C/ Y5 N& ]Commutative partially ordered semigroups
    + p# _/ f$ \+ TCommutative regular rings
    7 l! N: a, s, q0 k9 I. X  f& R4 Z1 LCommutative residuated lattice-ordered semigroups
    7 \' ^  U; Z( u0 N- oCommutative residuated lattices
    ! q6 J+ E4 v# m* @8 I2 h/ WCommutative residuated partially ordered monoids$ P! B( g$ C0 i. ~" ]. n9 x
    Commutative residuated partially ordered semigroups( ]6 ^, G" D2 A! T% o) b
    Commutative rings2 B# F* |3 q: S, r9 @1 y3 E: z# Q5 L0 }
    Commutative rings with identity! Q0 a& }+ X" Z8 @3 t, L
    Commutative semigroups, Finite commutative semigroups, with zero
    7 T7 K0 j' E, y2 W; SCompact topological spaces
    5 _  H2 M6 _9 J. U! Z; e9 VCompact zero-dimensional Hausdorff spaces
    2 v: j! P: _$ l+ a0 b5 L# w0 tComplemented lattices
    ! V+ A1 ^: k6 `0 PComplemented distributive lattices
    * C9 S8 B$ s- P! Z: n( H# JComplemented modular lattices
    . ~/ R' S6 @9 K$ hComplete distributive lattices
    4 y9 L0 c4 B' k% n# \' c- T3 lComplete lattices# _/ z  O9 m  A2 F9 d+ v" Q) m
    Complete semilattices4 S4 `4 {# e$ O( Z+ v  g) _
    Complete partial orders
    3 r& O5 ]+ v8 r0 w& QCompletely regular Hausdorff spaces
    $ W, o$ o5 F/ C9 Y  e4 T: @Completely regular semigroups" Q" ^  c1 }* j3 h  X7 W$ p
    Continuous lattices- k- z# L* ?. X1 P% B  f" M
    Continuous posets
    - q' m  e) _/ R* A# N' JCylindric algebras
    ( h! t' X! J) a9 i/ T' rDe Morgan algebras
    . h8 l' s3 V0 `6 ^! z' P, S' R, WDe Morgan monoids) v* H. G. Y/ C- |; O
    Dedekind categories! w; k( t; C* w  S4 k2 o$ c9 D
    Dedekind domains2 z3 G; S1 h. F* `! t
    Dense linear orders( X' x% x+ ^5 c; M) s2 k
    Digraph algebras
    - j4 l2 ~7 h1 A( yDirected complete partial orders+ O) P5 B6 K: w- e6 x5 p/ m
    Directed partial orders
    . ?& I' S/ \$ E& U& ^Directed graphs
      ^7 ~  ]" g$ p! K3 MDirectoids1 z( L/ B4 j2 U6 p; X. }0 V. T- j
    Distributive allegories& Q2 u9 L. y9 l
    Distributive double p-algebras$ m. o+ s% `: S6 o
    Distributive dual p-algebras
    " N7 s2 q% o" P7 f) S( U. X4 QDistributive lattice expansions
    ( _( O  z1 |* [( B& lDistributive lattices0 L& ^8 T! O- X, R. j
    Distributive lattices with operators1 c6 C. D4 t) C
    Distributive lattice ordered semigroups. k. @5 r$ F  [0 Z, n4 G
    Distributive p-algebras
    0 p5 `2 Z4 n' Q4 aDistributive residuated lattices
    ' Z6 w4 I; `3 X- n4 r$ j; F) ]Division algebras: x5 s0 X7 s7 {! u$ c' h
    Division rings1 k7 w2 m+ P0 T; k1 y5 l
    Double Stone algebras: I6 ^/ D6 o9 L" E
    Dunn monoids) w& }* C$ P* G( R3 G; J9 d* r! i
    Dynamic algebras# J9 w: [- Z  p2 ?
    Entropic groupoids
      E5 J2 h% s; [, sEquivalence algebras. P, q8 @! R" }$ R7 @7 z7 [
    Equivalence relations
    5 G2 A1 O0 H9 R5 d7 m/ KEuclidean domains
    / L( Z# F! k- Q- H% D: p7 |% Of-rings2 N, u% t4 ]4 a- ^' l2 K
    Fields1 O( S1 t7 ~- S( ]/ {- z
    FL-algebras3 ?  p! `6 Z' V) e( C
    FLc-algebras
    1 j5 R% V  i" ?+ i6 \# |FLe-algebras
    : P% X7 y! f# e7 Y4 B$ MFLew-algebras: r+ }& a4 e! l# D+ T- V  B
    FLw-algebras
    * v, h. O. f. IFrames
      `- V4 |, ^- [Function rings
    4 m( n7 p! G. J5 ~, XG-sets0 I' V3 u! M  b  `# r( _0 t
    Generalized BL-algebras6 B# }: m) d, ~' H' `
    Generalized Boolean algebras! n1 V5 V# m6 n4 `! V+ d1 X4 N
    Generalized MV-algebras& Q  E" _, \7 A6 X1 g! L
    Goedel algebras
    3 B7 m4 |5 Z3 r" P; a5 d+ B$ JGraphs
    4 m3 A$ s# G! y, Z: D9 d# lGroupoids* _: [: _9 U# O$ o
    Groups
    2 Z- W% f3 W+ O& R' zHausdorff spaces
    0 m, W$ p/ p0 eHeyting algebras
    . C- r2 B# ~( @5 d1 \9 V6 A+ v  QHilbert algebras
    * U0 I  \0 |: jHilbert spaces. S) q6 ?9 t0 Y! U) P! c
    Hoops
    1 p+ Z, q4 @( ~, w, w" b# [4 u* Z+ DIdempotent semirings  Y. I. \8 b8 o- ~% Q) q
    Idempotent semirings with identity8 Z8 b; h: J# I% `( G' n
    Idempotent semirings with identity and zero
    $ F/ L) o- j, `7 L* {Idempotent semirings with zero( X, |  P  P* d4 x5 Z% ]
    Implication algebras
    7 }, ?5 i$ T3 xImplicative lattices
    % @; H* d1 Z! ^5 jIntegral domains
    * C( }2 Z/ v3 O7 Z8 \& ?Integral ordered monoids, finite integral ordered monoids
    ) ^* E6 r  G( F. I  c# jIntegral relation algebras5 d+ `$ ~# a6 P* g/ l  F
    Integral residuated lattices4 T4 Q2 O) C; b8 W! I" m9 K9 f
    Intuitionistic linear logic algebras+ D( d, R9 @- Z+ `
    Inverse semigroups2 D1 A  x4 U- S& Z4 ^! T8 O
    Involutive lattices
    % S2 m% _  r2 AInvolutive residuated lattices8 E- @5 I# T; I
    Join-semidistributive lattices- K' z% ]) M5 ?  L4 l5 [/ [
    Join-semilattices
    2 e4 A( _. E) L9 }, kJordan algebras& ^, T0 |+ l4 @
    Kleene algebras6 u: G" e0 d7 \' D; N
    Kleene lattices
    ) N- ]2 c* y- u5 }3 A8 }5 C6 jLambek algebras1 W- k' r# n# b# k' o
    Lattice-ordered groups7 q# r) G0 T- a
    Lattice-ordered monoids
    8 i0 D( B1 k, i! O0 ~Lattice-ordered rings  i: d0 {8 t! B$ k$ T
    Lattice-ordered semigroups
    * y9 {) l; P# I' X/ r! \Lattices
    7 v! q/ H3 U% R' O4 ]Left cancellative semigroups; i0 Z3 ?6 m# @; M& Y9 g
    Lie algebras
    : x  v  h* L" v0 e7 R2 |3 {Linear Heyting algebras
    & `% l3 _$ c( l! \! l* kLinear logic algebras" G+ Z4 s# J! B9 V
    Linear orders# w& e) ~5 Q+ k' m
    Locales' S' I* F; C6 W4 O
    Locally compact topological spaces: Z  X+ P5 j! n
    Loops
    1 S# j7 A4 X  [Lukasiewicz algebras of order n" x9 _/ V! w1 m; [$ t
    M-sets. a$ {: e( r- ^
    Medial groupoids
    0 h) g; u$ z# P/ d! i: b, ]Medial quasigroups
    ' I  M8 v' q& t3 XMeet-semidistributive lattices9 R2 J! c' m$ ~" E: s7 D4 @
    Meet-semilattices9 s2 ^  T4 `5 `
    Metric spaces! f$ {# K, b% z: w
    Modal algebras) z( i# }1 t( s) _
    Modular lattices
    ' N6 F; V8 d* x* I' Y' o/ e4 SModular ortholattices
    & }% z: `0 z" P# ]/ y  X9 |Modules over a ring
    ( E9 N* |! O% MMonadic algebras
    $ a7 p5 x& d" EMonoidal t-norm logic algebras, D8 T3 V' |! H
    Monoids, Finite monoids, with zero5 s( e0 {; J9 |2 D
    Moufang loops9 e0 \9 U/ R. }: `7 M6 w7 G
    Moufang quasigroups  a) {# H" Y' Y# i+ s3 e
    Multiplicative additive linear logic algebras$ \) d; W! A6 i
    Multiplicative lattices
    6 t) g: S" ]; K0 e5 n9 W9 h- G1 LMultiplicative semilattices8 X" p) i& y% H
    Multisets) F" p7 `9 g& X8 ?0 b3 e
    MV-algebras/ b' E/ C* X0 b; z4 `
    Neardistributive lattices' K/ I- O1 v6 m" L  [. l
    Near-rings
    ! F& q( L$ r1 w- jNear-rings with identity- d1 w1 I+ _7 W2 t1 @2 w
    Near-fields$ I- T# R! J& q7 t( h
    Nilpotent groups
    ( i: p4 f. B/ H; @6 b, ~Nonassociative relation algebras
    ) d" k" T$ G4 i" bNonassociative algebras
    $ h) {% F, [; F4 Q6 `5 H  x& gNormal bands
    . L. Z" V. k$ {6 {; X- C+ V# rNormal valued lattice-ordered groups6 m+ z6 p: _  h8 z% Q7 Y* y$ h
    Normed vector spaces7 \: g( t! H* A9 i2 x3 L8 r# b
    Ockham algebras+ C7 L3 V' x2 I- b9 X
    Order algebras, V# o" r6 o. s% D: v8 S, Z5 \( }
    Ordered abelian groups
    ; X/ S  o4 F/ O2 AOrdered fields) `) _7 L5 J) m1 _# @& h6 j
    Ordered groups
    $ o, r- |4 c) k" E* b( lOrdered monoids
    8 A9 e7 m& \4 T) h2 [& ?1 qOrdered monoids with zero
    3 U* G1 `2 m' _( l# MOrdered rings# G. o; ?/ W5 Z/ ^: W& E
    Ordered semigroups, Finite ordered semigroups, Finite ordered semigroups with zero
    & |/ ^3 e7 `% A/ KOrdered semilattices, Finite ordered semilattices( F( }7 ]$ I! K9 l& T# |
    Ordered sets: l# M0 F! Q# P! {
    Ore domains
    $ Q2 d3 Q* a  IOrtholattices
    . X7 L) n9 r9 ]* W  mOrthomodular lattices: ^' ]$ E0 u8 x7 H. P
    p-groups
    ) @1 ]% H6 ?1 c4 [Partial groupoids
    ) |3 A4 ?1 I* L. Z6 gPartial semigroups
    5 T: g- y  u8 QPartially ordered groups
    : M" Y3 f/ s) j. F% BPartially ordered monoids7 P! k2 p% A0 F" Q
    Partially ordered semigroups
    7 b) g' K5 l  E: m: q4 rPartially ordered sets
    9 }4 v6 _2 H3 TPeirce algebras6 _- p- c6 [9 j$ v4 [4 f
    Pocrims% K) S9 N- f+ `
    Pointed residuated lattices
    ( A& V' D* r1 ]* G, T4 [& B8 WPolrims
    + K; m3 m+ H5 X5 Y9 K' ZPolyadic algebras
    ( F0 f4 L9 `- m4 }Posets' B5 ?) f; b9 N+ N
    Post algebras$ U* E$ M! ?- @4 P7 C
    Preordered sets& L3 K  v# e4 M9 k- T2 r7 n
    Priestley spaces$ m3 }& S* l- c' ]4 T8 j
    Principal Ideal Domains7 v' ~) s, Z* o( L( w) {- O+ E% R4 k
    Process algebras
    * h, Y5 |2 _0 ?$ Y: v2 |% lPseudo basic logic algebras
    # ]& P# @0 `3 z  d* T0 S" L; EPseudo MTL-algebras
    . d( D& V- z. a, L/ u  L3 a5 q3 n5 ZPseudo MV-algebras
    ! o$ u" H2 b# ePseudocomplemented distributive lattices* a& e% |6 I/ b) @
    Pure discriminator algebras
    / G( u/ z0 c% y* Q7 ~! RQuantales) V# Z% o, }$ `
    Quasigroups* j! D# O) M8 P% Y7 k
    Quasi-implication algebras
    - F% b( d5 B/ a6 ]6 F9 s: o  y; R0 WQuasi-MV-algebra
    + C: ?$ {- z$ f5 V# A0 F; D. ^Quasi-ordered sets
    $ T5 h* A  e2 j; x# A* Y7 FQuasitrivial groupoids
    3 h1 G* a* Q3 _% c! f9 ERectangular bands3 D. ^: n+ c, H. \$ ~
    Reflexive relations
    ' f( Z8 r- \, w* d. DRegular rings2 y: S5 k* j# L/ T
    Regular semigroups
    $ s; M& Q& ]0 ]5 p8 aRelation algebras  E/ A4 v8 D5 I* [3 x, \0 b
    Relative Stone algebras3 |1 H% p$ k  n5 X$ V$ @( y
    Relativized relation algebras
    7 v( c8 }7 P. t7 CRepresentable cylindric algebras8 p1 J; M* T6 X+ x
    Representable lattice-ordered groups% C% H" a3 b% y# y. X; G3 R! W5 Z. k
    Representable relation algebras
    4 U" L' N2 S% I+ m+ E/ j! BRepresentable residuated lattices
    - `, W- n, c6 }; @  Q2 v* iResiduated idempotent semirings3 q7 p2 W! U$ U) g6 X
    Residuated lattice-ordered semigroups  A% m4 [! L5 y. _" R( ]+ K
    Residuated lattices# b# q8 w4 x2 ]0 J
    Residuated partially ordered monoids
    ; u. c; s# i$ `1 MResiduated partially ordered semigroups4 ~5 H/ h/ u% P, w0 j( [
    Rings
    : ~4 W1 ^! h! P2 z5 u: t! T, BRings with identity/ h5 P+ R0 @0 L/ {: l+ h
    Schroeder categories+ X8 {7 H& S3 v
    Semiassociative relation algebras# @5 x1 z  A$ {, \+ G
    Semidistributive lattices  }' z. K) L3 j, D
    Semigroups, Finite semigroups- d& l4 o( {2 w% a0 j- q9 ^
    Semigroups with identity
    + t' h" w  O- W7 P- k+ bSemigroups with zero, Finite semigroups with zero: p8 i; G5 F) a1 b- U
    Semilattices, Finite semilattices. r$ z0 `3 [3 A1 p7 q; \7 D. b  x
    Semilattices with identity, Finite semilattices with identity8 K( v! \% Q/ h' a( k4 Z
    Semilattices with zero
    2 N! V0 P/ `2 X! F  p) g" N$ VSemirings( u- ~5 n! ?1 H% h( ~, ^! R2 Z
    Semirings with identity
    ' c8 i  z( E/ ^Semirings with identity and zero; R7 v  ]- Z! r+ P) @
    Semirings with zero/ q6 z  O" M( X1 @  Y6 b, g
    Sequential algebras; @3 z$ x7 P  G0 X( j* _
    Sets
    : C  i. Q0 H" ]; xShells4 i5 J9 f' _# `2 q: C8 j
    Skew-fields
    ) ?& ]2 n( P1 t1 H6 ?& V, b5 C/ v1 fSkew_lattices  Y" \. l2 Z, F# b8 ~
    Small categories, v1 l6 x" |( G; k5 t7 p
    Sober T0-spaces2 k) q: W- i5 l; |$ j
    Solvable groups, g  t' k$ |0 z$ w- {) Z( U
    Sqrt-quasi-MV-algebras
    + _! t# V" `# j" P+ E9 j1 fStably compact spaces' }7 G5 p1 W. }
    Steiner quasigroups
    1 j  ~' A* c8 q# q  c6 c0 WStone algebras
    . t3 D+ r  T7 E* j6 ~Symmetric relations2 g* P. I0 f) K+ j$ b. C7 y, ?
    T0-spaces( s/ \* _+ S" [- O0 B# z0 |# m
    T1-spaces: C- E* ]' S  c2 J: \6 W. ]8 |, U
    T2-spaces
    . b/ z% V# z$ s$ l+ T- BTarski algebras: ?1 E: S7 M- t2 S) Y
    Tense algebras
    8 v, x3 B7 T* U' o- U5 Z; ], ZTemporal algebras; }8 a1 f" }  Q8 M, \# N
    Topological groups
    7 z& [; Z+ Q" n3 OTopological spaces2 k( V/ M' o2 Z2 W; F
    Topological vector spaces
      r4 ]. E3 q/ a+ J2 \7 g) oTorsion groups; u# x% d! i/ P+ \# S4 _9 N
    Totally ordered abelian groups
    6 Q* R/ C( H0 w% r: e$ t+ fTotally ordered groups! e6 X" }; l& ~  }" \2 ~& i& f
    Totally ordered monoids' z# `+ B8 [! x3 `, |# [
    Transitive relations
    " K( t7 p1 `) ^7 \0 o2 qTrees. e9 E+ O9 Q7 }& J. t( s" v
    Tournaments
    0 k, i3 w8 k$ o+ IUnary algebras! k/ T7 @. P, p( P" p  f" C; V
    Unique factorization domains/ t5 H$ R3 P3 J9 G
    Unital rings/ R7 P- ^' P' p* ~2 ~* m
    Vector spaces
    5 h" C/ P; B) oWajsberg algebras
    ! U6 d: L' v9 _( B% LWajsberg hoops
    7 h8 d/ n! ^5 S5 G  X; IWeakly associative lattices
    ; F( D, V6 E+ w1 _Weakly associative relation algebras: {, G7 X+ s3 Y% R/ x
    Weakly representable relation algebras
    ( ~4 o2 Q) d% Q. s' a9 q4 g$ s3 e
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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% W# Y5 B/ ?/ Q9 i2 p
    阿贝尔格序群
    ! }" Y9 l$ }8 [阿贝尔下令组- @3 F" A1 X! E; \5 o# b. N& }7 d
    阿贝尔p -群
    1 k# }- p/ Z, T; D; U阿贝尔部分下令组" M3 j& s3 M5 A- s: N
    行动代数行动代数
    ' ~0 L2 S% M6 E0 [/ j0 d行动晶格9 J9 w2 C. c" z' D, R$ b
    代数晶格
    ( b" `* ]6 h. @- ^( P, ^代数偏序代数偏序集! F# L# @5 o& T( M" s
    代数半格
    : a/ x- \8 O; h% a+ Q* i寓言的寓言(范畴论)) d# ]# _( ]# M1 V# X( ?" {' N* i; G
    几乎分配格& G" P/ J$ }) O
    关联代数关联代数* C/ n% P0 ?, k( A5 ~/ X
    Banach空间的Banach空间! f: ]# p) `6 x  j
    乐队乐队(数学),有限频带- Q* }1 p; E( T8 ~* c2 }
    基本逻辑代数
    % I/ B2 B1 K4 V) ~3 J) W% xBCI -代数的BCI代数
    - P' g4 @% d: R9 V+ vBCK -代数BCK代数  n; M+ D# c8 {: b1 b$ K
    BCK联接,半格* t8 X3 j. W# ]( T
    BCK晶格
    6 x* F( Q  I) L: l9 @, wBCK -满足的半格
    , {. p' n5 S+ ]双线性代数& q$ \4 N& s) c/ \9 G$ K: Q
    BL -代数
    + F7 U' Z3 c0 M$ }" ^6 ?Binars,有限的binars,与身份,身份和零与零," {: j* j  n0 i& r/ C3 g2 _6 P
    布尔代数布尔代数(结构)
    % O6 D7 x, \! r7 g3 T与运营商布尔代数3 `' b' B( }& z: \, x, X
    布尔组4 W* K0 [2 `5 F! P
    布尔晶格
    . @/ u+ o( R- \7 X3 N5 x- }: q0 _4 w对关系代数的布尔模块3 ^( B9 D9 B% \' d4 d. s* j, z
    布尔半群! ^+ u3 y! B; M
    布尔环$ F! k& ]4 n  M" Q5 J; E
    布尔半群
    + T, C2 y# F" N  r! @4 H布尔半格
    ( C3 x* o2 M. L/ I) B& Y5 b; l布尔空间
    3 A( s8 o/ O1 Y! H有界分配格( U+ h. w5 E0 }
    界晶格
    " `1 l' g% r! n: n: g$ T5 Z0 d界剩余格
    * ?  I, |' M  h" f) u, pBrouwerian代数
    : k. V8 [, k; O, G) R# K2 N  D8 PBrouwerian半格
    % ]' d" Z% T7 L; s3 qC *-代数
    0 A# z+ d5 r% D  N: v8 U7 n消可交换半群: ~7 p# n! K/ X5 V& X
    消可交换半群, J: L! s. q8 k% j1 I5 e, Y3 D
    可消半群
    6 Z; |% u! c6 x4 u: `可消半群
    7 g2 A' D* g5 x- H2 m* N$ `) C9 l消residuated格
    4 j7 A- V# v1 B9 A' _分类# h7 U6 _( f* R0 K
    # P& E0 L7 Q! L% D
    克利福德半群
    % c' T- Y* \+ q+ e0 @Clifford代数- i. K, R! b! j$ @1 i6 E( e; X
    封闭代数: j" v4 _+ v8 b6 G4 d, k
    可交换BCK -代数; H# t/ [* E6 t- k
    交换binars,有限的可交换binars,与身份,零,身份和零4 d) o7 J+ B) {1 ]1 o+ i) _0 Q- d' F0 S
    可交换的组成下令半群,有限可交换积分下令半群% `- C' a3 g) d( O
    交换逆半群/ C' W: a; G) O8 l4 C/ K: ^$ p3 |& R5 r
    交换点阵有序的半群
    - J  R) Q" M, `  g交换格序环
    ; E3 X# w) b5 ^7 `, z. }. A; P交换格序半群
    # b% m1 ~) K; m8 ]& S) p交换半群,有限可交换半群,零的有限可交换半群: r# I# e- }8 w# N5 o
    交换下令半群8 |* y- M$ O9 \" O- |
    交换下令戒指
    $ f& u5 Y1 p/ H有限交换交换序半群,序半群/ n. m3 y) {5 [  v3 @9 o% _
    可交换部分有序的半群
    % o% G6 K* m+ a, E4 f+ _可交换部分序半群
    ( f. O5 u& G& z* s+ _" h, a交换正则环
    1 w5 \# {% b9 b7 a) R. I  F4 V5 z交换剩余格序半群. @3 ~; z" U* w0 Y! z4 \" k) R
    交换residuated格
    & e% A+ q, F+ L3 k9 f- O可交换residuated偏序半群
    3 p7 S# u% y1 o) k* |; {可交换residuated偏序半群
    , y% V  ]  z* W; r- c, m交换环7 `- f8 u5 x( ?' o2 T
    与身份的交换环8 b5 g+ Q! k, K! H1 }4 a  J
    交换半群,有限可交换半群,零
    6 \% t& k3 P$ |6 \紧凑型拓扑空间# z) {  X7 m. P' \7 i% y6 [7 h: w& @; y, n
    紧凑的零维的Hausdorff空间7 K8 c) w: _3 h& y& m/ E5 Y
    补充晶格
    2 D+ J; P- U7 r6 t8 u+ Z( o3 Y4 ^有补分配格5 s; @+ |4 X3 R) y" v7 Q5 x
    补充模块化晶格
    + t0 Q, @( J+ h# F  J6 `! ^7 [完整的分配格
    1 [9 o( k7 k8 q完备格
    $ X: k+ ^; F7 B完整的半格+ b0 q' P/ W/ U: t8 x/ N) P5 z! k
    完成部分订单
    & M: U3 o+ y+ f) o完全正则豪斯多夫空间3 @: X* Q1 F5 g7 {0 l& h/ Q
    完全正则半群% O( i/ e" E/ q: {* Z+ r, _
    连续格- T7 S! w& O" x; j
    连续偏序集
    1 O* U8 i9 g9 z  R8 h; D3 v& J2 q柱形代数
    8 _$ N' l3 t8 X# i: s德摩根代数
    ( n& S( P; I% h1 I9 P7 O德摩半群
    ! Q4 |2 x+ S/ L! E$ ?戴德金类别
    8 i- P! ]1 V+ D9 [' M  p戴德金域# U/ I5 M8 \6 a' v+ y- x6 H1 M) I
    稠密线性订单  ]9 ^1 U, F9 r# V7 o( ?
    有向图代数. Y' G/ R8 Z3 \6 \
    导演完成的部分订单
    ( p* ?8 x$ H$ O6 Y* G导演部分订单
    ( b, T5 E% k3 v/ Q: V3 j有向图
      L+ A) k$ W9 L1 C- a+ ZDirectoids
    # {; o+ G6 d; D1 g; l分配寓言+ z& Z! T" _& @( h1 S
    分配的双p -代数) Y3 R4 G8 }9 Y2 m' n
    分配的双P -代数' D+ B6 M+ b  r0 N" I3 z
    分配格扩展
    6 e' J% f7 L9 }3 @2 B分配格- @8 g, e, q2 A9 R
    与运营商分配格; \+ [, ~. P$ L- w, Q, _
    分配格序半群' g( J7 B* G# q5 E: P2 z  o* E. p
    分配p -代数
    ' m! ]! A; ]6 j1 ~+ V$ `分配residuated格& K' G' J! O/ x3 ^5 p5 f4 @
    司代数
    8 _3 x6 Y3 T* U7 {8 U' V8 O科环
    ) G# W* |- t+ T! B8 o& p8 _双Stone代数
    4 a9 \6 q' ]/ d9 ]% w$ P0 d2 q& M邓恩半群) y, V1 S% X4 m' b3 t
    动态代数2 a- J% |+ {7 e
    熵groupoids
    5 v# D  x9 w! w6 {8 n- ]% P# E等价代数+ N6 C: n1 y5 `* \& P+ U7 P. ~+ n
    等价关系
    7 W( |) h* x7 I1 E. c' x欧几里德域! m0 n" d9 D+ ^+ `( V/ ?+ ~
    F -环
    $ m& ?: S# |* H% i" U: C) b字段
    6 y8 s' k; k/ y7 lFL -代数
    , Y: E7 \) Q  I  l6 d5 JFLC -代数
    . N$ W+ s; g& ?9 r5 T; N9 wFLE -代数
    ; ~$ R: t& j  {% P7 E5 o* C( R飞到-代数
    5 f- {* @: e& z9 I4 B4 h, E2 eFLW -代数) {4 C. s1 N- ]/ p. j' t" C
    框架5 M3 Z( T6 |: Z. z' J6 _; n
    功能戒指# [' K  q; ^8 U/ S5 B# G
    G - 组4 q# s2 Y& S" |$ [  G
    广义BL -代数# ?' z6 x# {5 O. I! [% H2 }4 }# r& H. S
    广义布尔代数
    ; n/ E( U" f. Z) s! A广义的MV -代数
    : T! V" a& w  m: O7 tGoedel代数7 |: U4 n/ J3 P. L

    6 ?3 x" {' z, g5 O; gGroupoids
    : }8 |' g- g8 t; M# W! \
    & W, q  B# g/ N: Q/ W& Y9 e! H豪斯多夫空间6 N" l) B! y' N6 }1 P- ]: |
    Heyting代数
    - Y7 r: N0 i& w希尔伯特代数
      ]6 f4 b; \4 A% Z# dHilbert空间5 o+ X) @. \' b/ N
    篮球
    0 P7 w1 w, i) g2 W3 i% b幂等半环# f$ z3 h- ]& T% @3 e! g  c
    幂等半环与身份
    7 ^2 ]+ u4 \* E" w2 A幂等半环的身份和零
    0 V' O" ]* C. t# y0 }0 N( A5 m幂等半环与零
    6 A1 V1 e8 i( g2 }1 @9 n8 v蕴涵代数
    4 z" P3 o0 G0 \: |- n$ \4 U' P含蓄的格子  J5 U: `1 u- f2 B& n" v
    积分域
    4 r$ ~; O- s: P0 c积分下令半群,有限积分下令半群# R$ o. q: _# G; Z
    积分关系代数; t4 B0 n! g9 b& |
    集成剩余格
    ) I' r. T: [* m8 c2 A+ i" g直觉线性逻辑代数
    3 K/ \  I. T0 ]. b' K! l# h& |逆半群" ?$ A$ r! r( x+ x, P
    合的格子
    & V% U& u5 i) L, }/ b9 d合的residuated格
    . ]# h, D9 U9 U1 ?; n, j加盟semidistributive格
    2 I, t# d: k) {加盟半格
    / v( ~. s% b0 A2 U& @. e8 ]  G- y' n约旦代数
    ( h; |: J- ^( g" q. L克莱尼代数
    ( G- s$ J- B3 K* l克莱尼晶格
      Q1 d$ V8 d% {* i" NLambek代数/ `, m9 d; Q' M) \; L6 v
    格序群& {" C0 A& M; ?6 ~/ G- @! ]: a" p
    格子下令半群) N3 ]4 r. X( Z1 ~* n( N8 ?
    格序环
    4 L" l7 Z( n" i) j, z格序半群# B2 q0 U: u6 _4 O4 s
    2 E# X+ r! \  O$ e
    左可消半群
    2 q9 A( v4 V& E6 B李代数
    8 z( W7 v( b, p2 O; h; V$ D线性Heyting代数/ U6 K" ~% J9 ]8 T: a7 N
    线性逻辑代数# O" H2 q0 ]$ ?  x& a; F
    线性订单0 ~$ `; v7 p# u. h( d
    语言环境
      m4 C9 {' n5 L0 T% J0 z0 v0 [局部紧拓扑空间6 N& N" V- w$ ?+ ?  r2 k  {) V
    循环! s7 e/ W& G2 K. ^
    n阶Lukasiewicz代数! A5 y( h, t( v" b
    M -组
    # ?) `  S( W: Z0 `8 d内侧groupoids' Q, j8 ~0 f7 s  i$ n
    内侧quasigroups2 P) h0 E# _; z- A3 B
    会见semidistributive格
    0 S3 B* O$ l* g/ m会见半格4 `* f& ]/ y  ]6 V& z) H
    度量空间
    + Y, |; i+ ^+ v4 f; y模态代数  l4 y& ]/ ?/ }
    模块化晶格
    ; X) r9 o) B( J/ g模块化ortholattices- V4 d7 c! e, L9 ]0 @% [2 }
    环比一个模块
    : S5 ]  M; }' q  S: ^' M' F单子代数) f5 x7 B4 @( u0 ~& m
    Monoidal t -模的逻辑代数2 `4 D1 X; n( I1 y: ^/ ]
    幺半群,有限半群,零
    $ e; J% o  f6 x3 X) n! ~" b# {Moufang循环$ f5 @) ^8 T( m9 A. D+ Z
    Moufang quasigroups# ?, t4 G8 t7 w$ |+ ]
    乘添加剂的线性逻辑代数+ Z4 L- Z0 _9 m# b+ g" k: m
    乘晶格. o- s& o" q3 T0 ?# L
    乘法半格; U* V. [+ o  r2 Q, z
    多重集$ o8 d  s- P# k" X
    MV -代数
    3 a2 s# v2 |* ]3 Z, v6 y  NNeardistributive晶格4 F8 @5 \2 T6 w7 d
    近环# i. M% v3 L- Q
    近环与身份
    0 B1 t5 [9 O% @0 S3 h近田, _6 z4 q$ K: U
    幂零群; L% \1 j% ^6 ]! h7 u' x7 D# M9 K
    非结合的关系代数
    ' s; X" w6 ^6 k非结合代数0 T# ?1 k( r2 m" M, B& c6 @' n
    普通频段/ W. m! L6 P; a/ p3 l
    正常价值格序群
    $ k- w/ X  f0 ]) J赋范向量空间- U& R1 g) ^$ X9 b3 S7 g
    奥康代数; Y- O1 a& e0 _" v
    订购代数
    ! ^# v$ Y$ u6 f$ |有序阿贝尔群. S& g2 N. |2 e; C' ^( W
    有序领域
    2 ?( m; ]( G! v$ I4 T3 O序群  _$ {7 ?% U7 R  S
    有序半群3 a7 s5 }. w+ m
    与零有序的半群
    ! ?9 O0 o0 d/ X/ P有序环( j" J: e1 C5 b: ]0 C. q
    序半群,有限序半群,有限下令零半群
    4 L. t- i5 v3 P有序半格,有限下令半格
    ; G/ f. S0 [/ c* Y( Z5 {) a8 N% e有序集
    * {+ b; H  C# {矿石域) {9 v0 c! _; p
    Ortholattices% V/ M) O  o0 l. a6 w7 L
    正交模格
    ; P/ A4 L7 M$ r, g7 I& e0 kp -群. I# c% v0 \# o
    部分groupoids
    ! u6 u4 m. z6 y' s; s+ @8 {; C部分半群/ a! s! a$ a; f% f- Q
    部分有序的群体
    3 ?0 b- m, U. u部分下令半群
    ; \+ x0 c4 ^- u; |部分序半群: x1 l: ~: m: F* [6 x
    部分有序集* u  A8 `! \& ]/ \) [( O" }4 A
    皮尔斯代数- D) m9 A3 I- q6 `& M/ K
    Pocrims5 W) \7 F  |. Q
    指出residuated格5 f5 n" q- B% b/ H+ m' L! V6 b
    Polrims0 N5 x2 i6 A" {( v+ _6 G
    Polyadic代数0 h5 ?4 a  ?- q* s+ n! r, [
    偏序集
    2 u0 ]/ s: T5 R4 |0 I% v2 v. b邮政代数
    0 _2 y" x: N9 e) B' ?' A* TPreordered套, s% b, I% l: r# z) l
    普里斯特利空间
    % D2 C, p6 G- S& F. J- X, z主理想域
    % i8 R) H( W- P* t# Y& ~进程代数( `, T: Z3 N4 Z  ^* r+ E" o
    伪基本逻辑代数4 u9 q1 p1 w8 b& x
    伪MTL -代数
    # n: F4 Z+ R7 A3 P4 ~伪MV -代数
    ( Y" k+ z) O# Q8 t6 |# S- F$ ~Pseudocomplemented分配格
    . U, Y3 f8 {; U! k9 K1 i纯鉴别代数; R3 Q: L3 ]/ l9 x; a7 H0 M7 M/ u
    Quantales
    + t" m# M! i8 [& Q/ QQuasigroups5 c' c6 Q" ?! n! w$ g, h: ]5 D6 A
    准蕴涵代数# X1 O4 q1 O2 d0 I
    准MV -代数% {8 }1 b& w& S( T# B1 o
    准有序集
    1 S4 J/ D3 s5 b' _, kQuasitrivial groupoids. C7 u  ?" y" z
    矩形条带6 j9 s  ?* c! M; m
    自反关系. [& D! D: |: a  L5 T- s
    正则环
    % y/ E) y) N2 @& s$ t$ k; ?正则半群# Z0 i. h! c9 \( J4 Z8 P% X# b0 D
    关系代数
    8 I( F- F0 b. }8 f9 P( ?( E- A+ m相对Stone代数
    $ s; P- r# s8 R0 Y8 W. o相对化的关系代数; @- n1 h2 G( t: H
    表示的圆柱代数4 y) g: \$ _1 D+ z3 \) l0 I1 c
    表示的格序群体
    : Y+ j! b$ l# Y! V) ^表示的关系代数
    ! l' h+ T" Z+ |9 @# W表示的residuated格
    ; @+ V; z% b- g' pResiduated幂等半环! G+ V& D& B: S
    剩余格序半群/ D; f' M6 d4 B" u1 F* V9 ~
    剩余格
    : e9 G$ P! E" x+ r5 a" l* bResiduated部分有序的半群9 M+ L& d2 {( T5 X
    Residuated部分序半群( ?7 f3 _6 _0 O+ j0 P
    戒指5 [# p7 ?. ~2 I) Y6 Y2 r
    戒指与身份
    4 z" W2 O" ?8 I! q- w' ]9 L) y( ]施罗德类别! W) k/ x7 l9 ]) U. P" }% a- R
    Semiassociative关系代数
    - z) F6 d6 B3 h1 Z/ c# P; `# TSemidistributive晶格
    ! G5 {: p  Q+ {" w  I4 }半群,有限半群
    6 t9 f, v% k! C* V3 n# E3 {半群与身份
    ' x; C; N3 [- m6 \$ \; ]半群与零,有限半群与零
    * b2 i8 P2 e5 J$ C  q' r7 n4 m/ S半格,有限半格6 H% u+ p2 q$ D) n
    与身份,与身份的有限半格半格
    ) |  r& \0 N% C半格与零
    / ?$ N  \! j( x# G6 u. h/ `半环
    4 c+ y" t8 m( E: b  J2 v半环与身份
    1 u5 N1 J2 Z6 ?6 }半环与身份和零
    6 }" F* |6 `5 D# k) Q! I半环与零5 G0 C" B8 j& v6 r
    连续代数
    6 D- b0 E/ y# s& X0 b; k: s( r' c6 R6 @& U- r; d* p

    . ~* o# N5 ~- a1 J3 s! `歪斜领域: f- u- T- d/ d0 G. w- h6 c8 V
    Skew_lattices
    ' M# }1 I; O. o) h1 B小类, t  A  R2 @% U& _
    清醒T0 -空间) g  F* J9 j# \( p# `3 a
    可解群
    ( \7 V% O& m' i, ]; l' A$ pSQRT准MV -代数
    / M& a6 H6 L& Y* [; ~/ ]7 N. e: q稳定紧凑的空间
    * k9 o" x- H, K, f, v& a" @施泰纳quasigroups
    . g+ z* i( ^, e/ u! ]Stone代数
    * W2 [8 y! F7 A% A对称关系8 U/ f, x% d9 L2 W" [# O
    T0 -空间) s  P& |& y  k7 z
    T1 -空间
    9 L1 o/ `5 ?; `T2 -空间) i" h& A$ k7 ?  b2 l/ }. V5 c
    塔斯基代数9 j5 x7 N8 u8 p' `) A; G
    紧张代数5 p/ Q% T5 n% u* W- }
    时空代数3 a2 ]% k$ [1 r) H
    拓扑群. j. q) J5 ^! G1 S0 h
    拓扑空间
    ) X) ~6 Q& I/ J  J: y( p拓扑向量空间1 o6 S& A" h8 h6 W
    扭转组5 |0 U0 y! q2 o  X
    全序的阿贝尔群$ O) K7 I. E: P- z5 L, U9 s
    全序的群体
    + M  E- e# g! H9 r3 S完全下令半群
    0 I$ D' {  R2 ^0 gTransitive的关系
    . q3 _; z* \! m5 ^+ D5 S" H+ d) u
    . |0 {: u$ l: S( r, z8 w0 f锦标赛- ^5 ~5 X! r& \- m& I% K
    一元代数
    ) L7 W) `! l& W- V唯一分解域% n3 r) f; s$ }) S3 f/ W0 l
    Unital环
    6 h; N& Q2 ]" _  o向量空间, E! h8 R5 M7 T, P1 I
    Wajsberg代数$ N: G& i. Q+ f: r  Z: ]0 ?) ?: `1 H
    Wajsberg箍
    ! `4 @" P9 o1 V弱关联格
    ! l1 I. n) m6 ]+ W; N7 ~$ f弱关联关系代数  Q. j3 P3 R3 f0 f6 `
    弱表示关系代数
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