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Burris S., Sankappanavar H.P. — A Course in Universal Algebra
Burris S., Sankappanavar H.P. — A Course in Universal Algebra

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Название: A Course in Universal Algebra

Авторы: Burris S., Sankappanavar H.P.

Язык: en

Рубрика: Математика/Алгебра/Учебники/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: millenium edition

Год издания: 1981

Количество страниц: 276

Добавлена в каталог: 12.03.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$M_5$      13
$N_5$      13
2-design      118
2/3-minority term      90
3-permutable      46
Abelian group      26
Absorption laws      6
Algebra(s)      26 218
Algebra(s), automorphism of an      47
Algebra(s), binary      117
Algebra(s), binary idempotent      117
Algebra(s), Boolean      28 129
Algebra(s), Brouwerian      28
Algebra(s), center of an      91
Algebra(s), congruence on an      38
Algebra(s), congruence-distributive      43
Algebra(s), congruence-modular      43
Algebra(s), congruence-permutable      43
Algebra(s), congruence-uniform      213
Algebra(s), cylindric      29
Algebra(s), demi-semi-primal      199
Algebra(s), direct power of      59
Algebra(s), direct product of      56 58
Algebra(s), directly indecomposable      58
Algebra(s), embedding of an      32
Algebra(s), endomorphism of an      47
Algebra(s), finite      26
Algebra(s), finitely generated      34
Algebra(s), finitely subdirectly irreducible      266
Algebra(s), functionally complete      199
Algebra(s), generating set of an      34
Algebra(s), hereditarily simple      196
Algebra(s), Heyting      28
Algebra(s), homomorphic image of an      47
Algebra(s), isomorphic      31
Algebra(s), isomorphism      31
Algebra(s), K-iree      73
Algebra(s), language of      26 217
Algebra(s), locally finite      76
Algebra(s), maximal congruence on an      65
Algebra(s), monadic      136
Algebra(s), mono-unary      26
Algebra(s), n-valued Post      29
Algebra(s), over a ring      28
Algebra(s), partial unary      120
Algebra(s), polynomially equivalent      93
Algebra(s), primal      169
Algebra(s), quasiprimal      196
Algebra(s), quotient      39
Algebra(s), semiprimal      199
Algebra(s), semisimple      207
Algebra(s), simple      65
Algebra(s), subdirectly irreducible      63
Algebra(s), term      71
Algebra(s), trivial      26
Algebra(s), type of      26
Algebra(s), unary      26
Algebraic closed set system      24
Algebraic closure operator      22
Algebraic lattice      19
All relation      18
Almost complete graph      233
Arens, R.F.      129 159 287 288
Arguesian identity      45
Arithmetical variety      88
Arity of a function symbol      26
Arity of an operation      25
Atom of a Boolean algebra      135
Atomic Boolean algebra      280
Atomic formula      218
Atomless      135
Automorphism      47
Axiom      243
Axiomatized by      82 243
Baker, K.A.      5 195 259 261 269 270 290
Balanced identity      107
Balbes, R.      9
Baldwin, J.T.      259
Basic Horn formula      235
Bergman, G.M.      162
Berman,J.      259
Binary algebra      117
Binary idempotent algebra      117
Binary idempotent variety      117
Binary operation      26
Binary relation      17 217
Binary relation, inverse of      18
Biregular ring      185
Birkhoff, G.      5 9 14 17 25 26 44 62 64 65 72—74 77 83 84 105 108 185 259 270
Block of a 2-design      118
Block of a partition      19
Boole, G.      5 28 129
Boolean algebra      28
Boolean algebra of subsets      131
Boolean algebra, atom of a      135
Boolean algebra, atomic      280
Boolean algebra, filter of a      142
Boolean algebra, ideal of a      142
Boolean algebra, maximal ideal of a      148
Boolean algebra, prime ideal of a      150
Boolean algebra, principal ultrafilter of a      151
Boolean algebra, ultrafilter of a      148
Boolean pair      280
Boolean power (bounded)      159
Boolean product      174
Boolean product representation      178
Boolean ring      136
Boolean space      152
Boone, W.W.      286
Bose, R.C.      115
Bound greatest lower      7
Bound least upper      6
Bound lower      7
Bound occurrence of a variable      220
Bound upper      6
Bounded lattice      28
Brouwerian algebra      28
Bruck, R.H.      115
Brzozowski, J.      127 289
Buchi, J.R.      19
Bulman-Fleming, S.      129 187 288
Burris, S.      208 211 215 283—285 287—289
Cancellation law      251
Cantor discontinuum      158
Cayley table      114
Center of an algebra      91
Central idempotent      142
Chain      6
Chain of structures      231
Church, A.      271
Clark, D.M.      212 288 289
Class operator      66
Closed interval      7
Closed set system      24
Closed set system, algebraic      24
Closed subset      21
Closed under unions of chains      24
Closed under unions of upward directed families      24
Closure operator      21
Closure operator, algebraic      22
Closure operator, n-ary      35
Cofinite subset      135
Cohn, RM.      23 30
Comer, S.D.      129 287 289
Commutative group      26
Commutator      283
Compact element of a lattice      19
Compactly generated lattice      19
Compactness Theorem      241
Compactness theorem for equational logic      109
Compatibility property      38
Complement      30
Complement in a Boolean algebra      129
Complemented lattice      30
Complete graph      233
Complete lattice      17
Complete poset      17
Complete sublattice      17
Completely meet irreducible congruence      66
Completeness theorem for equational logic      105
Congruence(s)      38
Congruence(s), 3-permutable      46
Congruence(s), completely meet irreducible      66
Congruence(s), extension property      46
Congruence(s), factor      57
Congruence(s), fully invariant      99
Congruence(s), lattice      40
Congruence(s), permutable      43
Congruence(s), principal      41
Congruence(s), product      200
Congruence(s), restriction of a      52
Congruence-distributive      43
Congruence-modular      43
Congruence-permutable      43
Congruence-uniform      213
Conjunction of formulas      226
Conjunctive form      226
Constant operation      25
Contains a copy as a sublattice      11
Correspondence theorem      54
Coset      18
covers      7
Crawley, P.      9
Cylindric algebra      29
Cylindric ideal      152
Dauns, J.      129 185
Day, A.      90 207
Decidable      271
Dedekind — MacNeille completion      24
Dedekind, J.W.R.      5 14 38
Deduction, elementary      109
Deduction, formal      105
Deduction, length of      105
Deductive closures of identities      104
Definable principal congruences      254
Defined by      82 243
Defining relation      286
Degree      228
Deletion homomorphism      122
Demi-semi-primal algebra      199
Diagonal relation      18
Dilworth, R.R.      9
Direct power of algebras      59
Direct product of algebras      56 58
Direct product of structures      232
Directly indecomposable algebra      58
Directly representable variety      212
Discrete topological space      157
Discriminator, formula      289
Discriminator, function      186
Discriminator, term      186
Discriminator, variety      186
Disjointed union of topological spaces      156
Disjunction of formulas      226
Disjunctive form      226
Distributive lattice      12
Distributive laws      12
Dual lattice      9
Dwinger, P.      9
Eilenberg, S.      289
Elementary class of structures      243
Elementary deduction      109
Elementary embedding of a structure      228
Elementary relative to      229
Elementary substructure      227
Embedding of a lattice      11
Embedding of a structure      228 231
Embedding of an algebra      32
Embedding, semantic      272 279
Embedding, sub direct      63
Endomorphism      47
Epimorphism      47
Equalizer      161
Equational class      82
Equational logic      99
Equational logic, compactness theorem      109
Equational logic, completeness theorem      105
Equational theory      103
Equationally complete variety      107
Equivalence, class      18
Equivalence, relation      18
Erdos, P.      257
Ershov, Yu.L.      271 276 279 285
Euler, L.      111 115
Evans, T.      116 119 286
Existential quantifier      219
Extensive      21
F.s.a.      120
Factor congruence(s)      57
Factor congruence(s), pair of      57
Feferman, S.      289
Field of subsets      134
Filter of a Boolean algebra      142
Filter of a Heyting algebra      152
Filter of a lattice      175
Filter, generated by      147
Filter, maximal      175
Filter, proper      175
Filtered Boolean power      287
Final states of an f.s.a.      120
Finitary operation      25
Finitary relation      217
Finite algebra      26
Finite presentation      286
Finite state acceptor      120
Finite state acceptor, final states of a      120
Finite state acceptor, language accepted by a      120
Finite state acceptor, partial      120
Finite state acceptor, states of a      120
Finitely based identities      259
Finitely generated      23
Finitely generated algebra      34
Finitely generated variety      67
Finitely presented      286
Finitely subdirectly irreducible      266
First-order class of structures      243
First-order language      217
First-order relative to      229
First-order structure      217
Fleischer, I.      191
Formal deduction      105
Formula(s), atomic      218
Formula(s), basic Horn      235
Formula(s), conjunction of      226
Formula(s), discriminator      289
Formula(s), disjunction of      226
Formula(s), Horn      232 235
Formula(s), in conjunctive form      226
Formula(s), in disjunctive form      226
Formula(s), in prenex form      225
Formula(s), length of      224
Formula(s), logically equivalent      223
Formula(s), matrix of      225
Formula(s), of type $\mathcal{L}$      218
Formula(s), open      225
Formula(s), principal congruence      254
Formula(s), satisfaction of      221
Formula(s), spectrum of a      233
Formula(s), universal      245
Formula(s), universal Horn      245
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