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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

    . T6 l' O% @6 \; M' U) o/ L( z5 ?/ o0 d( H
    Abelian groups     Abelian group
    ! |% W( i& b/ Z5 g9 wAbelian lattice-ordered groups
    : |$ m6 B% g+ P4 N$ x. QAbelian ordered groups; ]" j2 H+ `. f
    Abelian p-groups
    3 s$ Q% K: n+ z4 p' @( w4 oAbelian partially ordered groups
    % r% g7 G% a7 v: ?7 g  |! MAction algebras     Action algebra& S4 }- k" U3 c2 T' y6 i
    Action lattices* A( t' J5 h: t, f) m
    Algebraic lattices. ^( `) E1 V/ A/ r4 [1 o
    Algebraic posets     Algebraic poset# ?, k% G, s1 L0 i6 L7 n
    Algebraic semilattices- V/ S) a) c0 L  y$ H( a
    Allegories     Allegory (category theory), a. H" @# j% r  Q+ Y' s, {
    Almost distributive lattices* I0 |0 H3 A; f8 N) E6 J. b
    Associative algebras     Associative algebra; ^5 |" m* A( o% ]: k; ?# H
    Banach spaces     Banach space9 B  v, |7 s  l0 S% d& ]" @0 V: \7 e
    Bands     Band (mathematics), Finite bands
    + k, }$ Y5 E6 d0 l4 K' u+ I  HBasic logic algebras- Q  m" S4 l8 Q+ L
    BCI-algebras     BCI algebra
    & H% l! C( N# gBCK-algebras     BCK algebra
    # O. v7 F& v0 SBCK-join-semilattices( B* \8 v& ^: R/ V: o& `
    BCK-lattices
    3 t1 _$ J1 x  j% L) vBCK-meet-semilattices
    , L& ]& {) \/ v* IBilinear algebras8 @$ u; O: c% i, N  d" n
    BL-algebras
    ; k; W% {. T; F) F/ s& [3 \' i0 \$ ~Binars, Finite binars, with identity, with zero, with identity and zero,
    0 D# a$ }& `4 ^1 ]) U" sBoolean algebras     Boolean algebra (structure)
    $ \  S9 C" ?- pBoolean algebras with operators; t: c& Z& f; j: ~% U7 X9 n2 w
    Boolean groups
    + o6 O; e+ ]8 x1 J2 J- b3 w, rBoolean lattices
    2 y1 h; s: @" }  l+ T1 @0 FBoolean modules over a relation algebra- p8 v. Z: E. z  d; b7 c: ^
    Boolean monoids
    + [+ e) e. U" O) }. S4 QBoolean rings
    ' N% \5 H9 C6 E- DBoolean semigroups; B8 p# q; ^# W# \/ X
    Boolean semilattices
    3 J8 z, R) R" Y  p/ X4 s" {4 V: NBoolean spaces0 e3 W: ^5 H7 R
    Bounded distributive lattices+ Y7 }+ L" B' B2 I
    Bounded lattices
    # m8 [( C3 ?9 N+ |  G8 U# e3 ZBounded residuated lattices
    ' p0 r& i: {6 t1 t# Q% V( \2 sBrouwerian algebras
    ' A7 V/ ]7 x1 n. kBrouwerian semilattices" |* w; [/ p& P- f/ n
    C*-algebras( _! g' G5 j' D, U0 y! H+ K
    Cancellative commutative monoids
    $ \' e- `4 |! j2 k. t5 t8 Q+ RCancellative commutative semigroups, i9 Y* e+ ^5 ^. }( j$ _
    Cancellative monoids
    ; K' E, r5 y. B( h, oCancellative semigroups
    & q0 ^( C: m  Q" L; h+ tCancellative residuated lattices
    - \/ ?" D2 V* rCategories
    3 i8 o* \# ]8 d3 L  J  t2 JChains
    4 z1 R" t7 R* x- L  u( Z7 x+ ]Clifford semigroups, L) l5 R7 D# L
    Clifford algebras
    1 A4 D, N. q6 w6 B6 \Closure algebras
    ( o8 P6 y, h1 q' O9 U7 A- hCommutative BCK-algebras
    3 m" {3 X2 X0 E% }; |. W% GCommutative binars, Finite commutative binars, with identity, with zero, with identity and zero
    ' V. f) a' E( S% Ccommutative integral ordered monoids, finite commutative integral ordered monoids  j% n& q& |+ x! v0 ~( O
    Commutative inverse semigroups
    : N& k1 h7 a2 jCommutative lattice-ordered monoids
    * ~! I+ a6 G6 \% u, U, nCommutative lattice-ordered rings1 X, {2 U  A$ e
    Commutative lattice-ordered semigroups
    $ S1 l0 l+ b4 o5 H) |Commutative monoids, Finite commutative monoids, Finite commutative monoids with zero
    6 h+ i+ H0 A1 b* F* ICommutative ordered monoids+ K+ ^: c! t6 ?" K2 w6 r' U) l
    Commutative ordered rings
    . k! i1 Q% k5 Z* v- rCommutative ordered semigroups, Finite commutative ordered semigroups
    8 N/ H2 l# k6 b; [4 d- jCommutative partially ordered monoids
    4 u# \- l  F7 m  L& o) q8 ZCommutative partially ordered semigroups
      X; C6 u, w# F/ {( P1 L8 dCommutative regular rings
    9 I7 q/ S6 q; ~) E+ A5 zCommutative residuated lattice-ordered semigroups0 f9 B! U3 p% G2 k3 M
    Commutative residuated lattices
    + @" v' R+ u2 L5 g% B8 SCommutative residuated partially ordered monoids" \* a+ V4 b8 r0 z
    Commutative residuated partially ordered semigroups$ C0 b7 E8 g. H/ r
    Commutative rings
    2 l% K. M2 H  @1 ?! yCommutative rings with identity
    7 j- p( ]1 K( Q+ C* D: k) ICommutative semigroups, Finite commutative semigroups, with zero+ E( t8 i( B& l$ g1 E
    Compact topological spaces
    % m( S7 v+ o. A! L4 ECompact zero-dimensional Hausdorff spaces
    % E+ X* X: h% uComplemented lattices
    % D6 W1 c- D) e( W6 M' FComplemented distributive lattices
    # n# W) J( z! s, r# GComplemented modular lattices7 c9 s( E2 |0 t) a7 u4 O
    Complete distributive lattices* s& s' z& c$ N& K8 R. h
    Complete lattices
    0 _; H1 s, C$ F# `1 D# m  O. }8 @Complete semilattices; @6 x) e  E! Z0 f
    Complete partial orders' V8 m$ C* \% q7 q3 K
    Completely regular Hausdorff spaces3 p% R1 B  V/ V/ `( A' V! k
    Completely regular semigroups) ?5 _8 O/ X$ C9 j( G
    Continuous lattices
    % L8 X7 B& q4 e. c' ^& A5 OContinuous posets
    0 Q# j+ H4 p/ N8 tCylindric algebras! R0 e" l4 ~! T  }
    De Morgan algebras) S+ I: H* C1 B$ _7 l% ?' F
    De Morgan monoids
    ) p7 j) ^) u0 }' s* k& mDedekind categories' N$ g+ J2 I3 X0 y
    Dedekind domains
    0 @: g5 P1 h' ^+ ZDense linear orders8 x* s7 b# B0 U* |2 S
    Digraph algebras
    , r( U. w6 C, S% m, c' R$ ZDirected complete partial orders5 f* a- b$ k; D/ O8 B2 {3 l
    Directed partial orders
    ' n4 b3 ?/ ~: H: O6 d$ g) iDirected graphs
    / m* G! ]. u* a' X8 Y; O/ oDirectoids( V% M& B1 T+ g( W9 Q  Y% X
    Distributive allegories
    4 ^% z. ^  d6 E% uDistributive double p-algebras
    / ?% y0 R/ q+ D( sDistributive dual p-algebras
    . Y7 E1 a$ A/ A2 y- w" ?Distributive lattice expansions( S3 a( t7 L) S7 N  M( x0 o
    Distributive lattices2 b+ S5 w( w+ x0 f6 U. [
    Distributive lattices with operators* o# q. f' l6 b  J/ T
    Distributive lattice ordered semigroups* u+ M/ j- B5 n$ {; {7 S
    Distributive p-algebras# [5 ?, |7 c  M6 p/ X9 |
    Distributive residuated lattices
    9 x0 A( i. q. j6 ADivision algebras  P7 x" Z. F4 J$ z  x- e  m5 k
    Division rings
    # D% L0 L# a" G1 }Double Stone algebras
    ' t( M7 M  J% o6 `2 TDunn monoids/ Q' K9 K1 C5 T+ D6 T0 s/ b
    Dynamic algebras% {4 v* C, \9 G
    Entropic groupoids
    5 p$ F8 u! Q( @' O/ oEquivalence algebras
    ! v; A8 D9 s8 k9 S8 ?Equivalence relations
    5 T% K% [9 [; X8 CEuclidean domains7 r) H. V1 v$ D
    f-rings0 ]/ h6 r$ K6 T* D+ x9 K0 |0 z
    Fields; U/ E% A) f; l2 X. q8 M
    FL-algebras5 D9 }: S! I5 }7 p. ~. t: o
    FLc-algebras3 l/ y- e9 `0 T" y
    FLe-algebras
    5 T$ O2 {1 O% T! h  DFLew-algebras" z0 Y. K1 Z! m5 D# K
    FLw-algebras/ S* l8 I" P# y2 n/ e
    Frames3 ?; b( z6 t# ^9 U% O: ?
    Function rings
    9 c: [- F/ x- d  I6 ]* o- pG-sets
    * G5 g# p: p& z5 B5 Q4 uGeneralized BL-algebras  K* z# G- @  J$ v! I
    Generalized Boolean algebras. g/ w; M2 ^( p) [+ m; k% a
    Generalized MV-algebras* o( B/ v4 X6 R9 w; v" C
    Goedel algebras9 r; t. b7 i5 |8 ^
    Graphs
    9 y) V& u/ h) _; EGroupoids9 d& f: m2 e' v& ?3 L3 S
    Groups$ F5 C# C) }2 N1 q: p
    Hausdorff spaces$ p$ A5 R' T' z$ ]
    Heyting algebras
    * K9 b! V6 ?; h0 NHilbert algebras
    : A0 d3 A7 H! F, p4 |6 r" ^Hilbert spaces' q, j, u5 s9 Z9 ]4 J( o- a
    Hoops4 X/ @& A8 w$ B
    Idempotent semirings
    / U% C0 ?( ]: J( l- W8 d% hIdempotent semirings with identity
    " ^$ }5 s8 a: G. mIdempotent semirings with identity and zero2 V( `& o3 O: m. [" S4 O/ s+ `5 ^
    Idempotent semirings with zero
    ( p) X# e" O6 OImplication algebras) Q1 Y5 U3 V0 M3 q2 d
    Implicative lattices1 {; b: i; @  y. b+ [9 q
    Integral domains
    $ [4 @. C3 h+ v' J# ?* |Integral ordered monoids, finite integral ordered monoids" S& h6 O' O; y& \7 Y' k
    Integral relation algebras
    0 \; i8 Y! j; ?) \Integral residuated lattices6 Z) L) z. ?; E
    Intuitionistic linear logic algebras
    # I0 b' j4 f3 e; s4 sInverse semigroups: N4 P& p  P& l
    Involutive lattices
    5 J1 a7 f9 n* V' q9 u' D/ aInvolutive residuated lattices* T2 t, W! c/ e5 c
    Join-semidistributive lattices
    1 C+ Z8 e3 }7 c6 _5 UJoin-semilattices
    # v: `6 D% u4 ]5 z9 E" wJordan algebras
    # ?& H. V+ v! F- U1 U& d/ T4 I9 |Kleene algebras
    " g5 k+ f: x4 C, LKleene lattices0 U' h8 J: I8 e- `& P5 ^; ^
    Lambek algebras- q1 W. `' `/ A+ l6 [/ S* w% Y6 |" n. w
    Lattice-ordered groups
    & i9 P* J, I5 g1 Y. F5 Q% A6 PLattice-ordered monoids
    " z) W2 `' ]( C8 ~( ?' U0 rLattice-ordered rings
    2 ?$ P+ Z1 J8 r' K' kLattice-ordered semigroups  ^# [+ z, q: q0 h3 b0 F
    Lattices
    5 B8 e8 R* }6 ?0 f$ LLeft cancellative semigroups
    9 w" u5 y0 w/ f3 w/ S3 b$ LLie algebras; v3 J7 x6 Z' W; G6 G, \+ D  X8 I
    Linear Heyting algebras
    5 r! k+ j' x8 G  z  k% ~4 ULinear logic algebras$ T8 A+ O- S+ `' v* ^; n
    Linear orders$ l* p3 V; E) H% R2 R
    Locales
    ) U1 H( X- A3 MLocally compact topological spaces
    ( t8 v5 t+ y2 A* KLoops9 d( \( d6 W1 @
    Lukasiewicz algebras of order n/ r: M. `" x: |- W. s
    M-sets
    - y3 W" d9 J; d# x" g' t" O. {Medial groupoids# H& K0 U8 `8 \" T
    Medial quasigroups
    1 X6 L& G3 v, a. Q4 m# LMeet-semidistributive lattices7 S# Z# H2 E; F1 W0 j. ~7 X+ E
    Meet-semilattices' a& Z3 C0 l3 s% ?: l* i
    Metric spaces3 g1 w4 l/ l2 Z% e8 Q; R0 N4 i) l9 y
    Modal algebras
    6 ^1 ^( c2 J& H  NModular lattices
    ' O9 H) H5 w1 |% qModular ortholattices
    0 x0 K4 i9 l6 e% q5 M5 K, TModules over a ring
    4 Y. P2 K: U5 z4 \& mMonadic algebras0 ]% O& h4 M8 Y6 ^4 m7 _; b
    Monoidal t-norm logic algebras
    % d+ b# F8 E0 s: h) ?Monoids, Finite monoids, with zero# f6 L/ l( g! K$ G0 U
    Moufang loops
    ' Z0 I1 K& T2 o; d: [) _0 e( P, mMoufang quasigroups
    0 f6 z# \+ A8 T7 J' Z+ |Multiplicative additive linear logic algebras
    & H9 T) m+ B  J! U  BMultiplicative lattices
    / g4 Q; z- e0 w; D" gMultiplicative semilattices: X; }( d4 v. b/ i2 G. P
    Multisets
    & D! K( W6 \- D8 H. p5 o; \MV-algebras
    ( s% F- m% V- E; `% y( ANeardistributive lattices
    " s; J  W- t+ HNear-rings3 O7 a2 D/ X& S) G" D
    Near-rings with identity
    7 H/ w# I) i& ?* cNear-fields5 T# G7 {" X/ a
    Nilpotent groups7 }* I" g: B, x5 U# L5 B
    Nonassociative relation algebras$ ?7 ]* Q! Q* [! x9 h. Z5 X% T3 m5 W
    Nonassociative algebras+ n% [& v2 }8 E% ]" W
    Normal bands$ ^0 l; ^) l1 J- W9 ]/ u; W7 B# D
    Normal valued lattice-ordered groups
    8 u6 k) J, Z' T' I2 ONormed vector spaces" l! l3 T, r7 q- e
    Ockham algebras
    # L. p$ s0 a1 ^' ~Order algebras
    1 r6 `  D# t! n) r2 @& S* _; mOrdered abelian groups, C- V: V; U( n$ n
    Ordered fields
      A5 I- r) a8 L* hOrdered groups* M' v; M8 Q3 V1 h
    Ordered monoids
    4 u6 ~. o0 l# ^  YOrdered monoids with zero
    / U0 ^0 a3 v8 ^" UOrdered rings
    6 l0 L/ W1 a; A- M; w1 n. }Ordered semigroups, Finite ordered semigroups, Finite ordered semigroups with zero
    * w$ Q4 O9 r: G& aOrdered semilattices, Finite ordered semilattices
    8 r3 |: L4 A8 j, ]' AOrdered sets
    1 @9 B2 B+ f2 y. w9 M: uOre domains) A$ {, R* w' G* n& M, F8 l
    Ortholattices
    6 m4 Y4 ~0 J8 S( F2 JOrthomodular lattices- \# r1 P* j+ Q' o- L1 p' y
    p-groups) @2 A5 e* @) q8 E5 U6 V  e
    Partial groupoids/ {* D" ^6 X; o  R% E( m
    Partial semigroups
    , `* f  K8 c, R' x& s1 ?. z9 ]Partially ordered groups3 L. V/ b9 R9 k- H# a
    Partially ordered monoids
    7 ?; z1 t/ \' G2 C3 sPartially ordered semigroups0 I3 j* m4 [5 ]4 J2 W8 C9 |
    Partially ordered sets( E( @6 K" F4 E$ ]7 |9 t
    Peirce algebras
    7 j1 R1 ^  \4 f& o" I! @# D- @Pocrims% t" \  x2 F  L; F0 ]$ M
    Pointed residuated lattices
      d' W# I$ e. T* ~" N! ]" W* gPolrims  y* J5 h0 N3 E$ d% m% x
    Polyadic algebras
    6 Y* E9 M% b9 j: y( q+ M9 G" tPosets
    * B  c, T: x+ A4 k8 p5 ]Post algebras
    # \% p$ h. v  f* k" h2 E1 BPreordered sets
    6 ~: V' c4 [' r2 k. l$ c- MPriestley spaces
    ( _' z: M/ _; `6 ^Principal Ideal Domains) D5 B# X+ j* \: z
    Process algebras0 k' l3 ]9 Z+ X
    Pseudo basic logic algebras
    & m: W4 Y2 L1 @Pseudo MTL-algebras7 M' c( b& _  g5 K
    Pseudo MV-algebras( ]5 f- u& S' _6 ^' x, o( G
    Pseudocomplemented distributive lattices9 `8 R( i- J- V( s
    Pure discriminator algebras
    # g$ A# R8 g# d9 O9 l6 S& q* s( [3 f. IQuantales5 N$ y7 X2 X3 A7 }
    Quasigroups; h6 g* O- i" R7 r1 R
    Quasi-implication algebras! @4 [; ^. r6 }" F; h' x" x+ m" Z
    Quasi-MV-algebra! D, {) c/ D$ C  |
    Quasi-ordered sets
    , W# w8 A7 F8 }/ Q  g  b2 I! qQuasitrivial groupoids
    * P2 j+ J+ Y  m, cRectangular bands
    * ]& g4 s. J  L$ dReflexive relations% J2 J; T9 |; v4 B& W& ^! R8 `/ T! _
    Regular rings5 N" V) C0 m* ~: E9 L, g7 n5 |: t
    Regular semigroups4 s+ d! k' B& [, |
    Relation algebras
    1 U- F" M6 L# A: q8 O5 t9 @. zRelative Stone algebras' D% s- b+ A! B" X+ Z+ r3 ^
    Relativized relation algebras
    / P- v8 j# p' ?8 Q- C9 R* CRepresentable cylindric algebras
    % {. J* @& q8 G5 O+ g! X7 U3 MRepresentable lattice-ordered groups$ i  w0 x4 S8 D* w- ]0 V
    Representable relation algebras% V7 V  a* g( F# B8 p/ M, m! S
    Representable residuated lattices- b$ X# ~: g# F; |! C  R
    Residuated idempotent semirings1 H0 L2 H+ q9 U, v1 o2 P
    Residuated lattice-ordered semigroups" o  w" F# h, o. ?
    Residuated lattices) I+ u: k; y+ B5 t( x0 j
    Residuated partially ordered monoids" @! \* s( r* K, p
    Residuated partially ordered semigroups1 [# g7 y1 t( s! d( j0 N+ ~5 l
    Rings
    ! w1 V' E. j, x5 T& sRings with identity
    , \7 r: j; f+ }: F# q9 OSchroeder categories3 W3 D) I" M! _5 {; ]) j5 Q1 K( m
    Semiassociative relation algebras
      P, _5 W: \$ q+ jSemidistributive lattices
    3 e, H$ N+ i5 jSemigroups, Finite semigroups
    " W$ |) f+ j1 Y9 f5 A7 gSemigroups with identity4 f# Q5 ^5 b3 [7 [  K; \% Z
    Semigroups with zero, Finite semigroups with zero
    ( h. q9 I5 I: j" V: X4 zSemilattices, Finite semilattices
    5 z% ^: l/ W' [4 w' G  Q1 l  aSemilattices with identity, Finite semilattices with identity* \* V  N" \& @& t
    Semilattices with zero
    ( `# w! f0 h+ t3 wSemirings
    ; Q4 T% A* R2 _  W% v4 MSemirings with identity
    ( {( r7 n" R- [* Z9 j2 WSemirings with identity and zero2 Y8 S& |% h4 k$ g8 D
    Semirings with zero
    6 ]& f! t. k2 y8 A) ~. GSequential algebras  l7 i  E/ x0 D# v/ t" u
    Sets" }6 N% ?  X; c, d! F, V/ }5 Y" a
    Shells
    : e9 j: i0 ^# H# i) _( f% }" ?Skew-fields
    6 r) i" z4 q5 BSkew_lattices. G# G4 f' L( l7 U8 M
    Small categories+ [# N- s% J- [; Q$ \9 a
    Sober T0-spaces
    6 d& ^6 G! c3 hSolvable groups% N' V2 e4 T  g% p3 W  n
    Sqrt-quasi-MV-algebras
    7 n$ s5 C% k' l# o6 NStably compact spaces
    * U. N/ ?; T: r% l; iSteiner quasigroups
    $ X$ Z+ y- G" j) HStone algebras; b/ \; h: S; x: D# u9 [0 h
    Symmetric relations
    1 Y. y6 Q1 z9 _# `6 \# UT0-spaces: m. L+ r- j, Q! f4 X+ p1 w  N9 Y
    T1-spaces
    % r9 R. c$ ~) T# R. p: a. dT2-spaces
    ! z* u" J. c8 K1 D1 u. JTarski algebras' @$ j: f; x; {7 Z
    Tense algebras
    ) f# }; ?, `+ N' |$ B3 aTemporal algebras- \1 K. N" h1 |8 S1 v0 M% n# ~
    Topological groups
    " k/ B7 p$ B$ p3 @: RTopological spaces
    / A8 p  V% r: z2 l  Z" |# ETopological vector spaces4 x9 g& o; ?1 }
    Torsion groups
    " {' i& f" c4 s- K  ^5 {3 Y8 Z- DTotally ordered abelian groups1 Y" N( |7 @; M, V1 M# C
    Totally ordered groups" S. L% m/ G( w: n- l  h
    Totally ordered monoids
    - y* K' q9 e& Y1 pTransitive relations8 p* d# M5 ~1 _* B* @% j2 I
    Trees, l: Y7 ^! O: B5 z  d. K# e
    Tournaments9 a" D4 Z- V* W. V1 _" L: P2 v; \
    Unary algebras
    $ u* o$ w" V% D. z" J8 \" sUnique factorization domains
    7 c: @2 }: `% H. y9 ?: ^" ]5 L; Z8 ^Unital rings1 \5 M7 S# q' s
    Vector spaces
    # O' j- _& |+ N# C7 L1 ^9 CWajsberg algebras; D* z5 d  I5 j3 I$ z, ^: v
    Wajsberg hoops
    ) R8 a9 C. l7 K1 L1 TWeakly associative lattices* q0 E9 Z. Q2 _, r" ^. a% C7 X
    Weakly associative relation algebras! d  S. T# f/ {% m/ j2 M8 H- K/ H
    Weakly representable relation algebras
    / W1 r1 J- C* ]3 i
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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
    ; T% U! \1 S9 ~/ k/ h) A阿贝尔格序群8 y0 ^, ]0 b2 M* `/ F& q
    阿贝尔下令组
    / F( T0 l5 `3 y3 h8 s, o" [. Q阿贝尔p -群
    : k5 k: c+ r  {& e$ D% R# G  f( {阿贝尔部分下令组
    5 F+ I, [) v0 Z; y( a( c行动代数行动代数
    2 B% s5 `5 ]. C+ P2 u* c- }  ^行动晶格
    : i6 h9 O$ I# p6 R0 @代数晶格
    & w+ f9 e& F8 x: H  m代数偏序代数偏序集
    ) N/ |! v0 K% u6 H2 w: [, n代数半格
    % T+ Y0 p/ Q- A寓言的寓言(范畴论)
    4 ?& G9 f; a0 K; I几乎分配格
    , ?; Q( B8 P2 M% H6 s9 T7 v关联代数关联代数
    6 U5 I; x) u- m7 e/ C+ y3 o& gBanach空间的Banach空间
    0 D, S3 x) o! b9 ?2 Q  f4 e乐队乐队(数学),有限频带- {% [% Z% _5 F+ Q1 w
    基本逻辑代数
    1 `. ?9 J# A2 U' WBCI -代数的BCI代数
    5 O4 w: m4 U$ H. {! ]  tBCK -代数BCK代数' |: X1 s7 u- J, d
    BCK联接,半格; L5 I+ Y) u' @3 b4 u
    BCK晶格; D$ A) f0 P8 k1 R
    BCK -满足的半格+ N  b% x/ l9 {# h, r: T/ Z5 Q
    双线性代数3 L9 O4 m" {7 d& t
    BL -代数
    5 x5 ]( }/ `/ u1 k, ~6 x8 EBinars,有限的binars,与身份,身份和零与零,
    - _/ z. F* K0 }. S8 u布尔代数布尔代数(结构)+ o! t- x7 ~' \+ ]
    与运营商布尔代数
    0 ]5 |- `$ g2 ?0 k2 \布尔组
    6 W+ H; c# O- R* G布尔晶格
    . N9 x" T3 {2 j/ V- }, f对关系代数的布尔模块
    3 G; J7 H% n. A4 i& d% T布尔半群
    * z8 l  ?  o3 E3 `9 A" b布尔环
    ) ~% D, h. ]4 @布尔半群& G# R) j7 I4 Z' C1 N' e. g; M
    布尔半格4 D' I. K. k+ n. A- S8 P7 [0 }
    布尔空间
    $ s% e& ?! _# A( V; o有界分配格8 H2 {$ Z# q. \; j* h8 L& Q
    界晶格
    ! t) h6 i2 F6 m; M# s5 t; @界剩余格3 R% u. q- Z3 X! A
    Brouwerian代数
    , ^% d4 H- w; U- TBrouwerian半格
    - w( O+ Y8 G% g1 uC *-代数
    9 ?2 z1 D6 ^- d' H消可交换半群# Y: J' y- b1 i
    消可交换半群
    6 u+ H; I+ n8 j* u- U$ w8 ?可消半群
    2 t( e' l) u" d! ~8 O可消半群
    ) x2 j' r, y" `! z4 }4 @3 W消residuated格( a/ A6 P& K8 ]. F8 k
    分类/ @+ K8 u* H1 y7 ~" E+ |/ `: b5 y
    8 b( |  D$ g2 N3 Q
    克利福德半群2 \$ z$ N4 R* ^( S! @5 G5 b
    Clifford代数2 q" x7 _3 B& V! T
    封闭代数3 Q" V' G; D3 G, N5 R( f
    可交换BCK -代数
      M( }$ s. N8 A  k1 f$ X) J. Q交换binars,有限的可交换binars,与身份,零,身份和零
    . h0 e- w# ~8 b+ J0 ]1 B8 W, F3 c可交换的组成下令半群,有限可交换积分下令半群
    1 T& }) O, A% U8 ~交换逆半群
    * D$ h, w2 D1 t. U3 M' E交换点阵有序的半群0 L8 A/ \5 E$ K, v; F" p
    交换格序环  r6 V% v* D* _- C- X
    交换格序半群
    9 s2 z* \5 W  I% N3 g交换半群,有限可交换半群,零的有限可交换半群; P, x( H2 Y& w0 Q% Q( B
    交换下令半群5 J5 t4 q" M: e: V" E( e
    交换下令戒指6 _# N* ^7 O8 X
    有限交换交换序半群,序半群+ C3 e* k! }1 l: K7 o0 E
    可交换部分有序的半群3 V( R! v9 \) I( i9 T$ D3 `& M
    可交换部分序半群
    , A6 P5 Z% D, o) x$ W' N4 e! q交换正则环
    $ t- \, H' w1 n% X: k& C+ c; }交换剩余格序半群
    , m2 R* G6 k9 k$ l交换residuated格4 z) a/ D3 y% o8 z0 q
    可交换residuated偏序半群
    7 t6 j6 _& c9 T# L可交换residuated偏序半群) C- B, ~4 U  ]9 U+ v- F  ?2 x  W
    交换环
    ( F/ [( f( u+ y$ K/ X9 e9 G与身份的交换环
    3 Z* e% d" ?, M8 i3 m交换半群,有限可交换半群,零
    ) l5 z  g3 P' ~+ x4 @) `& \紧凑型拓扑空间! t1 C% a) {4 _; ]
    紧凑的零维的Hausdorff空间3 L5 S! D. E' U" |
    补充晶格9 z4 K0 p6 W* M0 j) ]$ N- p
    有补分配格
    1 Q0 @: I9 i: t; N1 y补充模块化晶格8 x" W/ c! W6 q) {
    完整的分配格
    7 g+ T$ @9 r5 A, M; A完备格5 c0 C# l+ d; F- D1 s; Z
    完整的半格% `1 N. _7 F  K$ c! r3 i: c) i, e+ @8 M
    完成部分订单8 E6 P8 V; c5 n, P7 a% X
    完全正则豪斯多夫空间5 C5 U' S8 G! \4 A# w3 d
    完全正则半群
    ! S3 l# V0 }, ^连续格
    $ r8 w7 [/ C- r' y连续偏序集
    4 t' y3 {7 M9 e7 D7 E% A5 `& g9 O柱形代数
    0 U, |/ O% P3 }德摩根代数
    - b/ b/ a% v: P; W0 `德摩半群
    * c* k  A% f3 c戴德金类别
    + ]# J5 t  z0 [- N' o) B. m戴德金域2 _1 q8 ^" A1 j" R8 Z" D: T6 X
    稠密线性订单
    + X. j) |( B& T, E有向图代数
    % j* F/ k6 w) T- _9 x$ B5 W导演完成的部分订单' t) A  C$ G0 Q# l3 c2 z2 j
    导演部分订单
    . m0 I7 _! m/ B有向图8 \9 k! F' G! j  u
    Directoids
    , r  O& `4 A# p分配寓言
    . o9 {6 H) @3 E$ R) Q分配的双p -代数
    + S8 X# C2 [" z, D( A& o# @& k5 P分配的双P -代数
    : l+ |, I# }/ ]1 `: _分配格扩展2 B' ?1 |1 y7 z
    分配格: y! y  P3 k: x3 w
    与运营商分配格7 r+ t* n# h7 ?* f# }
    分配格序半群1 n2 q6 U* ?5 D- `5 M1 b- @2 d
    分配p -代数
    * y8 S2 H* Z. X5 U" f3 n( b分配residuated格' N3 e/ O0 S5 w
    司代数  I2 R( O" p; O' C) c7 g, w$ q( M
    科环
    9 i4 r; _; \# ?5 l* F2 w双Stone代数; t; j2 ^* @3 _; h* y
    邓恩半群% e' m  b; a; X8 Y
    动态代数
    9 |8 U! H/ i. t& p- c0 P熵groupoids, l# i1 `. N5 d2 h/ l3 Y/ L* M
    等价代数9 n' @  v% E1 ^6 ^5 g% S7 Q
    等价关系  p# {9 b8 _6 a; K9 p$ ?+ y
    欧几里德域
    : g- s+ R4 ]! r3 E- G7 qF -环4 l$ ^, o8 P* Y: U! h
    字段6 t2 a* @0 r4 ]1 L
    FL -代数
    1 H. b! y; s3 g% k" L& B9 l+ SFLC -代数1 E0 y& r  ?4 c  ?; }- r! [$ T: G
    FLE -代数5 Z3 F1 k/ u1 G3 T  r
    飞到-代数1 F; Y7 t6 s7 g3 t5 b! l1 }+ Q
    FLW -代数
    5 R8 d) h) f. n! V+ o2 M框架) A: ^3 }- g+ f3 E5 V) b, b
    功能戒指# `" a1 S" d" _8 U; z$ i
    G - 组
    1 D' {- U+ s. f广义BL -代数/ o) J) y+ a8 t7 g' W3 q" R
    广义布尔代数
    % X7 T# O" J2 Z  n. ^' ]' C广义的MV -代数  ]; K: t5 R3 p$ a( U$ O  g
    Goedel代数+ q7 v# T" Z* N/ e: V0 O

    ! s) w- w+ m4 x. w2 {Groupoids5 p0 A. R4 ~2 T% `7 Q6 L
    0 E2 ^5 B# Y8 m: O
    豪斯多夫空间
    ( Y. J5 f* F$ z( D# K0 G/ ZHeyting代数
    * e( ^3 l1 C& t希尔伯特代数
    ! c2 m8 x: d8 U/ wHilbert空间' W" w6 T; T/ @) P5 Y  x
    篮球
    6 k) _" i2 R7 y$ ?6 G9 \幂等半环
    & H: n- E6 C, ?幂等半环与身份! K" Y& u# E! m. H
    幂等半环的身份和零
    6 j4 k, b" s0 T# d# h幂等半环与零
    ) {7 n/ y$ f. F5 b蕴涵代数& F  e" k/ W- o+ G8 J: Z
    含蓄的格子6 x! f- M5 H, [% |! E3 @
    积分域* y. U. h1 `$ ~9 l
    积分下令半群,有限积分下令半群
    0 O: T7 w/ S* c! J1 o- i积分关系代数
    2 O( j7 T# G+ L集成剩余格
    ' P6 f. P' {  X" J: Y' O+ I7 }直觉线性逻辑代数% B! [$ V% W+ c9 n0 V4 P
    逆半群: e8 o1 N- c9 @7 `7 {
    合的格子$ c/ y) [9 U* z& w9 C. h" s
    合的residuated格
    : D! Y8 Q8 \- X; d: S* r6 J, M加盟semidistributive格2 N& U7 W4 B2 Q9 _, u+ k5 ]3 P
    加盟半格
    * c. \9 F; s% ~( E* a7 H约旦代数  J! E- F" W2 P! Z- N9 q1 A
    克莱尼代数
    ( Q( j  g( n9 H/ E克莱尼晶格
    ) f$ ]9 h/ n3 I8 B. XLambek代数! h8 z* a* K& V) X0 {. S' h6 r# P
    格序群
    ' |9 e( T) G% [, r格子下令半群
    , M! z; Y! a; q- S格序环! |/ ~/ R1 J' l. ^9 h
    格序半群: O" ?$ E6 [2 {9 i  |: K- R
    ' Q; O8 d$ w. o9 c% Q5 ~, M
    左可消半群/ d' S7 @5 M3 o& L
    李代数
    7 V9 w8 Q6 e: K# w0 q& @线性Heyting代数
    8 o5 V4 [) K2 b7 D- I- k线性逻辑代数
    7 Q/ q. n. [0 M( g线性订单( O* i6 O+ u1 p  @
    语言环境
    ( z; B7 s# Q8 Q6 ^局部紧拓扑空间, t/ ~0 \" o5 @: [+ F
    循环( n  w" O# ]5 Z' T$ }! E
    n阶Lukasiewicz代数3 f& Z9 G  D' h  Z7 m
    M -组
    & [( \8 l  @7 S* v内侧groupoids
    7 E  V9 q; t7 g! d' b' R( |5 v内侧quasigroups: n% Q' a  @, w/ U% C
    会见semidistributive格/ l8 o) T5 x; G# t0 \
    会见半格
    % W  _0 _/ r/ V度量空间
    & G& @$ E, Q2 `. r模态代数  }0 i4 ~, N. W% F7 D( n
    模块化晶格* a8 i/ ~- [" T5 ], ^- b
    模块化ortholattices
    + R3 ~4 J0 H7 y# _, _3 \环比一个模块+ g  G# f7 F, o
    单子代数
    . g9 _' k7 |! K: X; m! l6 ]Monoidal t -模的逻辑代数! [9 a" K9 l4 A5 @
    幺半群,有限半群,零
    / G3 A( F4 ?3 S1 t  q' LMoufang循环
    + u" q. x' @2 p8 f$ r- x7 tMoufang quasigroups! s! |2 r+ d, R" |1 H: G
    乘添加剂的线性逻辑代数
    # }9 w2 {4 S1 j% e乘晶格
    ) g2 I) g* ]" s5 [& K. o% R: s乘法半格# \; }, ]( N2 J) S
    多重集
    2 G# \) A. r6 y; KMV -代数
    & F/ U5 ^* G$ c' w/ B4 qNeardistributive晶格$ S2 p. y$ }. i+ y
    近环
    ; {8 G& X/ l- c$ M近环与身份( z2 {, R) Z8 _  m
    近田1 `3 e; x. Q% c1 R9 d
    幂零群( y) {" V: \3 U& l6 G5 }
    非结合的关系代数
    % r! R" V& Y8 Y, j) {2 Z非结合代数5 S5 F2 J* c- t1 \
    普通频段4 }1 Q6 T# `+ p! z1 h
    正常价值格序群
    . E+ C8 t$ u' Q5 {. Y. U& O赋范向量空间! u* |4 q+ r) Y$ U
    奥康代数/ d; {) F/ f7 V% B" n5 P
    订购代数. Z/ p+ ^) @* J$ H. K% p: q5 |( b
    有序阿贝尔群! o8 ?5 e/ x: w
    有序领域6 j4 z+ d; y& v/ k" L7 W: K
    序群" U) Z5 F- `# y
    有序半群9 g& i! q  H' r) A, h
    与零有序的半群
    9 z8 y' H: B6 V3 e' Y  _. b有序环$ B( H! B/ h/ R+ q4 z3 i7 o
    序半群,有限序半群,有限下令零半群7 v+ ]9 ~  {' x- `
    有序半格,有限下令半格
    . ?! p  ~6 [9 x; X有序集+ k2 d; p- e* [& a8 G) k
    矿石域
    ( o! F2 y& u  D" ~" K8 M6 }! wOrtholattices
    - e2 W. H4 k3 v& b; W4 x正交模格8 s2 c& Z- e7 u& _1 e6 L
    p -群
    5 A! }& m% O+ t" z$ p部分groupoids2 K- P  o' i# i+ v0 F
    部分半群
    / I. Y$ l/ Y: O$ o# m部分有序的群体
    2 ?; j) M+ G# F6 q- R$ m, n. r部分下令半群
    4 r, h' R# T& @2 s  ^. ]# \部分序半群7 O4 P  [. O) H! I- `* n
    部分有序集+ y* G& A3 z7 s0 k0 `+ D+ d
    皮尔斯代数
    2 w  P! e4 l9 O3 V/ W7 d9 s* W" BPocrims
    5 X9 f/ G4 v8 p2 S/ Y$ b指出residuated格
    5 y7 E6 i. S; j  tPolrims+ j) _' W$ A9 k: F& U# j, a
    Polyadic代数! [$ [& Q& f& a; z2 S
    偏序集3 v# j. w& |: U& D
    邮政代数9 O% a! F# I' B, @5 T/ }4 @
    Preordered套$ Q: q, w" B: K( r
    普里斯特利空间% X9 d  }* N* l9 d( e& N' |. C
    主理想域
    ) I! [: [& b8 s进程代数
    ) a" j+ t" k0 ]6 D伪基本逻辑代数
    , s% g- l5 r/ G5 n' T伪MTL -代数
    " z5 h7 `# M& d5 C. \伪MV -代数3 J1 T" a* z: {' R) ?8 V
    Pseudocomplemented分配格1 b& K$ Q+ M5 Q6 D( Q
    纯鉴别代数6 Z% g- v% I- |& R
    Quantales. {+ c2 W# Y) w, t% a
    Quasigroups
    " K  S; ^! h+ J3 n准蕴涵代数
    2 w8 J: O5 z+ t. p$ R准MV -代数
    $ S9 o6 Q/ B7 V0 e8 b6 O) Z4 N( y准有序集
    7 u: c: }5 D9 }# q9 F" J- oQuasitrivial groupoids+ x! S4 ?& b! d' i. R! T" g
    矩形条带
    8 i9 o  E, E3 k, p1 G' b! V自反关系' h4 ^2 Z# S+ l6 J4 _8 n# }( `
    正则环
    2 p# k" ^% {' ~正则半群3 N' y+ ]# I2 s; v1 Q' L
    关系代数! o  m* x, ], ?) u% d  Y! y- o
    相对Stone代数4 ~- ?, s* Z$ k* T8 m4 ]. h/ Q
    相对化的关系代数
    1 W, C3 ^; I5 R& P表示的圆柱代数
    $ G0 Y1 K- |7 X  d- x. Z表示的格序群体! b( K" Y2 H9 h
    表示的关系代数, t9 v3 R! _  x
    表示的residuated格; A7 T. p1 S! L" M+ @2 k- x
    Residuated幂等半环
      @) n1 R3 }! h' i# @) e剩余格序半群" b! M; e# S4 b& m) Q4 I4 P% o
    剩余格
    # |; X/ h4 y6 P3 F4 c$ FResiduated部分有序的半群
    % `3 Q/ W9 i( R* M8 gResiduated部分序半群
    ) P" D) C0 @; `( t- r% }- g戒指' q) l8 |! M. X; f# m7 D7 y
    戒指与身份8 [3 y& [" W% P2 K
    施罗德类别" s2 l7 X: N' v5 m+ z7 W# {
    Semiassociative关系代数
    0 N7 y3 P( ?0 Z9 ?% y' X: N3 TSemidistributive晶格) N) T( h( |3 r. s, q
    半群,有限半群
    ( C- a8 w& Q' {( p' \. z# g半群与身份
    6 ]5 \* S+ ]0 J  ]半群与零,有限半群与零
    0 M9 x" ^3 W$ S- C- K+ I半格,有限半格% Q) s4 b1 G! `6 s1 y
    与身份,与身份的有限半格半格) u+ e+ P3 I' x6 d" L1 Z) ?
    半格与零
    4 x: g" @) e* g6 g1 p, `1 @半环4 i: g6 Y6 _0 ~  ?5 d2 v8 G0 |/ k
    半环与身份1 K+ d4 u( O+ ~* x1 s* t
    半环与身份和零4 h, ^4 F2 z) \, x
    半环与零
    9 ^+ i, J$ M% p7 P, `8 |连续代数% e# F+ L, \  x! _' q2 a8 K

    ; X! g, |# [9 m- u! G+ h
    $ C9 S! A6 ^5 m6 g歪斜领域2 w; C: N4 r5 B" _2 @: _
    Skew_lattices& @$ F" g/ w2 }9 o
    小类
    & V0 Q% K# T3 I3 C3 o+ @% h清醒T0 -空间. @* U2 }' |2 K
    可解群% o8 }  j' w0 c9 c  R; b
    SQRT准MV -代数
    ' `6 j0 r- G  Z7 F2 k* e. M稳定紧凑的空间
    $ P& G4 O7 L3 H0 O& v施泰纳quasigroups
    3 \6 [0 b. p" G9 ]' q4 YStone代数
    ) [9 n3 l8 \  B, S$ q8 z# a) Q2 K对称关系9 b$ P; S; K- @- F7 y2 Y- E1 I
    T0 -空间
    5 z" g. p) C$ |- QT1 -空间
    ' v0 g7 V* r+ O9 R: F* O, BT2 -空间! P+ g( i. E/ A; W
    塔斯基代数, A$ I" {& b6 M# B4 I4 B7 ]. z
    紧张代数
    : S- {* L! L* n$ T时空代数
    6 f% L0 J3 y1 {3 S拓扑群
    5 p- J+ Q5 D* W& c/ t拓扑空间
    8 ~. }; C4 J) z4 h2 H1 M拓扑向量空间
    # F4 W  A) F3 c扭转组
    . [. S* b$ n" [全序的阿贝尔群
    " h  B6 C' k9 j' R8 s全序的群体
    " J8 d) s# J/ }$ i( g, s完全下令半群2 Y& P$ {' {- q8 q! k
    Transitive的关系
    : E, p$ l* x, n6 ]; W, G+ R# p; x6 a: Y; J1 m  O) }; C" c( I
    锦标赛3 {! v! p9 n8 d4 U% U+ N0 m2 E
    一元代数
      N0 U$ p9 L3 {5 V6 Y( e唯一分解域
    & @( }3 w5 g; kUnital环
    6 t* S* _4 ?7 l; x! K向量空间3 N; L$ Q0 u: O9 X) g) M! \
    Wajsberg代数
    2 F5 ^7 S3 X3 Y& ZWajsberg箍
    ! i7 b! z) l% O弱关联格
    7 g9 Q  ^4 W  c& k; H' ]弱关联关系代数7 Z1 R  D: `1 y& n3 ~
    弱表示关系代数
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