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Petrich M. — Rings and Semigroups
Petrich M. — Rings and Semigroups

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Название: Rings and Semigroups

Автор: Petrich M.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1974

Количество страниц: 182

Добавлена в каталог: 10.09.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\Lambda \times I$-matrix      76
$\mathfrak{R}$-homomorphism      75
$\mathfrak{R}$-isomorphic modules      75
$\mathfrak{R}$-isomorphism      75
$\mathfrak{R}$-module      70
$\mathfrak{R}$-submodule      70
Adjoint of a linear transformation      5
Adjoint of a semilinear transformation      35
Affine transformation      54
Algebra      46
Annihilator      60
Atomic ring      69
Basis      3
Bilinear form      4
Biorthogonal sets      81
Bitranslation      55
Boolean ring      46
Cauchy net      129
Center      45
centralizer      48
Centralizer of a primitive ring      154
Characteristic      16
Circle composition      62
Codimension      119
Complement      3
Complete direct sum      96
Complete lattice      125
Complete uniform space      129
Completely 0-simpla semigroup      71
Completion of a uniform space      129
Congruence (induced by)      54
Conjugate of a linear transformation      6
Conjugate of a semilinear transformation      127
Conjugate space      2
Contains small sets      133
Converges (a net _)      129
Dense extension      54
Dense set of linear transformations      12
Dense uniform subspace      129
Diagonal      128
DIMENSION      3
Direct product of rings      96
Direct product of semigroups      97
Direct sum      91
Directed set      129
Directs (a binary relation_)      129
Discrete direct sum      96
Division ring      1
Doubly transitive      12
Dual pair      4
Dual space      2
Endomorphism      3
Essential extension      60
Eventually in (net _)      129
Extension      54
External direct sum      96
Faithful module      71
Finite intersection property      132
Finite topology of $V^*$      113
Finite topology of $X^A$      113
Finite topology of $\mathfrak{L}_U(V)$      136
General linear group      29
Generalized inner automorphism      62
Generates (a set _)      81
Generating set      3
Green's relations      75
Homogeneous component      94
Homothetic transformation      54
Hyperplane      115
Ideal      6
Idealizer      11
Idempotent ideal      66
Identity relation      128
In (net _ a set)      129
Independent family of subrings      91
Independent system of primitive ideals      163
Induced by a semilinear isomorphism      41
Induced congruence      54
Inner automorphism      48
Inner bitranslation      55
Inner left (right) translation      55
Inverse limit      156
Inverse system of topological modules      156
Invertible matrix      53
Irreducible module      71
Isomorphic dual pairs      38
Isomorphic vector spaces      34
Jacobson radical      163
Large ideal      60
Left $\mathfrak{R}$-module      73
Left annihilator      19 66 91
Left ideal      27
Left row-independent matrix      76
Left socle      69
Left socle topology      147 149
Left translation      55
Left vector space      1
Linear form      2
Linear transformation      2
Linear variety      132
Linearly compact module      132
Linearly independent set      3
Linearly topologized module      131
Locally matrix ring      25
Maximal dense extension      54
Maximal subgroup      25
Minimal left (right, two-sided) ideal      67
Modular left identity      141
Modular right ideal      141
Multiplication induced by a scalar      44
N-fold transitive      12
Natural image      4
Natural isomorphism of V into $V^{**}$      26
Net      129
Nilpotent element      74
Nilpotent ideal      66
Nondegenerate bilinear form      4
Null space      3
Open function      126
Order isomorphism      23
Orthogonal set of idempotents      15
Orthogonal sum      92
Pair of dual vector spaces      4
Permutable translations      61
Prime ideal      71
Prime ring      71
Primitive ideal      162
Primitive idempotent      81
Primitive regular semigroup      97
Primitive ring      71
Principal factor      27
Product of relations      75
Product of topological spaces      112
Product topology      113
Projection homomorphism      96
Proper ideal      32
Quasi-inner automorphism      62
R-maximal ring      86
R-maximal semigroup      86
RANGE      3
Rank      3
Rees matrix ring      76
Rees matrix semigroup      29
Rees quotient      27
Regular element (semigroup, ring)      19
Relative uniformity      129
Relativization of a uniformity      129
Ri-semigroup      85
Right annihilator      19 66 91
Right column-independent matrix      76
Right ideal      27
Right K-module      70
Right socle      69
Right socle topology      147 149
Right translation      55
Right vector space      2
Ring of endomorphisms      3
Row finite matrix      52
Sandwich matrix      29
Scalar multiplication      2
Scalars      2
Semidirect product      50
Semigroup      3
Semigroup of endomorphisms      3
Semigroup socle      73
Semilinear automorphism      34
Semilinear isomorphism of dual pairs      38
Semilinear isomorphism of vector spaces      34
Semilinear transformation      34
Semiprime ideal      71
Semiprime ring      66
Semiprime semigroup      67
Semisimple ring      163
Simple ring      19
Socle      68
Split extension      51
Subdirect sum (product)      96
subspace      3
Subvariety      132
Sum of subrings      68
T-subspace      4
Topologica1ly simple ring      162
Topological group      114
Topological module      131
Topological ring      137
Topological vector space      115
Topology of a uniformity      128
Topology of uniform convergence      144
Total subspace      4
Transitive      12
Translation      54
Translationa1 hull      55
U-topology      113
Uniform isomorphism      129
Uniform semigroup (ring)      63
Uniform space      128
Uniform subspace      129
Uniform topology      144
Uniformity      128
Uniformity of uniform convergence      144
Uniformly continuous function      129
Uniformly equivalent uniform spaces      129
Unique addition      45
V-topology      113
Vectors      2
Weakly reductive semigroup      54
Weakly topologized vector space      131
Zero ring      19
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