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| Авторизация |
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| Поиск по указателям |
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| Howie J.M. (ed.) — An Introduction to Semigroup Theory |
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| Предметный указатель |
 (Green's equivalence) 39
 (Green’s equivalence) 39
 (Green’s equivalence) 39
 (Green’s equivalence) 38
 (Green’s equivalence) 38
 -semigroup 152
(0-) simple semigroup 57
(left, right) normal band 116 119
(left, right) translation 98 232
(left, right) unitary subset 55
(O-) bisimple semigroup 63
(right) -coset 172
(right) coset (of an inverse subsemigroup) 172
(right, left) S-system 223
(S, T)-bisystem 223
0-direct union 71
Absolutely closed semigroup 228
Admissible triple 75
Almost unitary subsemigroup 232
Amalgam 212 217
Amalgam, free inverse product of 246
Amalgam, free product of 217
Amalgam, inverse semigroup 243
Amalgamation property, special 249
Amalgamation property, strong 250
Amalgamation property, weak 220 250
Anti-representation 194
Anti-uniform band 204
Anti-uniform semilattice 144 146
Associated mappings 232 255
Associative 1
atom 114
Automorphism 5
Band 90 95
Band, (left, right) normal 116 119
Band, (left, right) zero 3 119
Band, anti-uniform 204
Band, free 104
Band, rectangular 3 96 119
Band, trivial 119
Band, uniform 203
Bicyclic semigroup 144
Bijection 6
Binary relation(s) 14
Binary relation(s), semigroup of 14
Bruck — Reilly extension 153
Central izer 183
Chain of groups 163
Clifford semigroup 93 163
Closed subsemigroup 220
Closed subset 139
Closure 138 220
Codomain 5
Comparable 148
Completely (0-) simple semigroup 57 60 68
Congruence (s) 21
Congruence (s), fully invariant 110
Congruence (s), generated by a relation 24
Congruence (s), group 139 185
Congruence (s), idempotent-separating 52 140 141
Congruence (s), identical 14
Congruence (s), intersection of 24
Congruence (s), inverse semigroup 190
Congruence (s), join of 27 28
Congruence (s), left (right) 21
Congruence (s), proper 73
Congruence (s), Rees 31
Congruence (s), semilattice 93
Congruence (s), universal 14
Congruence-free semigroup 83
Consistent subsemigroup 254
Content 104 105
Converse (of a relation) 15
Coproduct 217 244
Core 217
Cyclic group 9
Decreasing step 231
Denning relations 30
Dense subsemigroup 220
Diagonal 116
Direct product 5 6 116
Domain (of a mapping) 5
Domain (of a mapping) of a binary relation 15
Dominate 220
Dominion 220
E-unitary, inverse semigroup 181 182
E-unitary, regular semigroup 55 125
Eggbox diagram 42
Elementary R-transition 26
Endomorphism 5
Equality relation 14
Equivalence(s) 18
Equivalence(s) classes 19
Equivalence(s) commuting 29 31
Equivalence(s) compatible 21
Equivalence(s) generated by a relation 19
Equivalence(s) idempotent-separating 52
Equivalence(s) identical 14
Equivalence(s) intersection of 19
Equivalence(s) left (right) compatible 21
Equivalence(s) universal 14
Equivalence(s), join of 27 28
Extension 16
extract 74
Finitely presented semigroup 30
Formal inverse 244
Free band 104
Free inverse product 244
Free inverse semigroup 129
Free product of amalgam 217
Free product of semigroups 212
Free semigroup 29
Full transformation semigroup 6
Generators 7 30
Greatest lower bound 12
Green’s equivalences 38 39
Green’s equivalences in an inverse semigroup 131
Green’s equivalencesin a regular semigroup 49 50
Green’s Lemmas 43
Green’s Theorem 44
Group 4
Group congruence 139
Group left (right) 54
Group minimum congruence 139
Group, 0- 4
Group, symmetric 6
Groupoid 1
Hall semigroup 199
Hall — Yamada semigroup 207
Hasse diagram 14
Homorphism 5
Homorphism Rees 31
Ideal (left, right, two-sided) 5
Ideal, (0-) minimal 58
Ideal, minimum 59
Ideal, principal 38
Ideal, proper 5
Idempotent 5
Idempotent, central 93
Idempotent, primitive 68
Idempotent-separating congruence 52 140 141
Idempotent-separating congruence, maximum 52 141 192
Identical relation 109
Identity element 1
Identity element, left (right) 35
Incomparable 148
Increasing step 230
Index (of an element in a free product) 212
Index (of an element of finite order) 8
Initial 106
| Initial, mark 106
Internalized sequence 235
Internalized sequence, fully 235
Internalized sequence, left (right) 235
Inverse of an element 45
Inverse semigroup 129
Inverse semigroup, bisimple 150
Inverse semigroup, free 129
Inverse semigroup, fundamental 141
Inverse semigroup, minimum congruence 190
Inverse semigroup, simple 159
Inverse semigroup, symmetric 134
Inverse subsemigroup 139
Inverse subsemigroup, closed 139
Inverse subsemigroup, full 145
Inverse subsemigroup, normal 181
Inverse subsemigroup, subtransitive 160
Inverse subsemigroup, transitive 151
Irregular -class 45
Isbell’s Zigzag Theorem 228
Isomorphic 5
Isomorphism 5
Join 12
Kernel of a homomorphism 22 31
Kernel of a mapping 19
Kernel of a semigroup 9 59
Lallement’s Lemma 52
Lattice(s) 12
Lattice(s), complete 12
Lattice(s), direct product of 34
Lattice(s), modular 32
Lattice(s), semimodular 33
Least upper bound 12
Lexicographic order 149
Maximal 12
Maximum 12
Meet 12
Minimal 11
Minimal conditions  ,  ,  12 41
Minimum 11
Modular lattice 32
Monogenic semigroup 8
Monoid 2
Monomorphism 5
Morphism (of S-systems) 224
Multiplication 1
Munn semigroup 143
Null semigroup 3
Order of a semigroup 1
Order of an element 8
Order relation 11
Order relation, partial 11
Order relation, total 11
Ordered set 11
Ordered set, partially 11
Ordered set, totally 11
Ordered set, well- 12 147
Ordinal product 184
Orthodox semigroup 186
P-semigroup 182
Partial mapping(s) 16
Partial mapping(s), semigroup of 16
Partition 18
Period 8
Periodic semigroup 11 40
Primitive idempotent 68
Principal (left, right, two-sided) ideal 38
Principal factor 60
Principal series 86
Proper inverse semigroup see under E-unitary
Pushout 218 246
Quotient semigroup 21 22
Quotient set 19
Range (of a mapping) 5
Range of a binary relation 15
Rectangular band 3 96 119
Rees congruence 31
Rees homomorphism 31
Rees matrix semigroup 62 68
Rees’s Theorem 63
Regular -class 45
Regular element 44
Regular sandwich matrix 60 62
Regular semigroup 44
Relation 14
Relation, antisymmetric 11
Relation, binary 14
Relation, compatible 21
Relation, congruence 21
Relation, congruence generated by 24
Relation, converse of 15
Relation, equality 14
Relation, equivalence 18
Relation, equivalence generated by 19
Relation, identical 109
Relation, left (right) compatible 21
Relation, order 11
Relation, reflexive 11 18
Relation, symmetric 18
Relation, transitive 11 18
Relation, transitive closure of 19
Relation, universal 14
Representation(s) (by mappings) 6 135 168
Representation(s) extended right regular 7
Representation(s), decomposable 176
Representation(s), effective 169
Representation(s), equivalent 170
Representation(s), faithful 6 168
Representation(s), sum of 170
Representation(s), transitive 169
Representation(s), Vagner — Preston 135 168
Restriction 16
Sandwich matrix 62
Semigroup 1
Semigroup with identity 1
Semigroup with zero 2
Semigroup, (0-) bisimple 63
Semigroup, (right, left) cancellative 53 54
Semigroup, absolutely closed 228
Semigroup, archimedean 125
Semigroup, bicyclic 144
Semigroup, Clifford 93 163
Semigroup, commutative 1
Semigroup, completely (0-) simple 57 60 68
Semigroup, congruence-free 83
Semigroup, finite 11
Semigroup, finitely presented 30
Semigroup, free 29
Semigroup, inverse 129
Semigroup, left (right) simple 54
Semigroup, left (right) zero 3
Semigroup, monogenic 8
Semigroup, null 3
Semigroup, orthodox 186
Semigroup, periodic 11
Semigroup, relatively free 112
Semilattice 14
Semilattice of semigroups 89
Semilattice, anti-uniform 144 146
Semilattice, complete lower 12
Semilattice, complete upper 12
Semilattice, congruence 93
Semilattice, lower 12
Semilattice, minimum congruence 93
Semilattice, subuniform 160
Semilattice, uniform 144 146
Semilattice, upper 12
Semimodular lattice 33
Semisimple 86
Semisimple, (0-) simple 57
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