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| Nastasescu C. — Graded and Filtered Rings and Modules |
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| Предметный указатель |
Artin — Rees property 21
Cauchy sequence 4
Central system 22
Classical graded Krull dimension 53
Classical P-primary 76
Dimension, classical 53
Dimension, Goldie 50
Dimension, Krull 18
Dimension, left 19
Element, homogeneous 5
Element, homogenized 79
Essential objects 11
Filtered finitely generated 18
Filtered free objects 16
Filtered injective objects 26
Filtered module 1
Filtered ring 1
Filtration, Complete 2
Filtration, deduced 3
Filtration, discrete 2
Filtration, exhaustive 2
Filtration, I-adic 1
Filtration, I-fitting 46
Filtration, separated 2
Filtration, trivial 1
Filtrations 1
Functor, completion 4
Functor, exhaustion 4
Functor, kernel 83
Functor, suspensio 3
Gradation, left limited 7
Gradation, trivial 5
Graded Artinian 41
Graded bi-endomorphism ring 61
Graded fully left bounded 95
Graded Jacobson radical 65
Graded kernel functor 85
Graded local ring 127
Graded maximal ideal 127
Graded module 5
Graded module of quotients 96
Graded Noetherian 41
Graded pure sequence 13
Graded ring 5
Graded semisimple objects 67
Graded simple objects 59
Graded supporting module 92
Hereditary torsion theory 83
| Homogeneous parameters 139
Homogenization 3 6
Kernel functor 83
Kernel functor, cogenerated rigid 86
Kernel functor, compatible 105
Kernel functor, Goldie's graded 89
Kernel functor, graded 85
Kernel functor, graded prime 92
Kernel functor, idempotent 83
Kernel functor, Lambek's graded 90
Kernel functor, projective 92
Kernel functor, rigid prime 93
Kernel functor, symmetric 91
m-sequence 136
Module, Cohen — Macaulay 134
Module, critical 19
Module, Gorenstein 134
Module, graded 5
Module, graded supporting 92
Module, P-primary submodule 76
Module, projective (graded) 9
Module, Rees 46
Module, uniform 49
Ore-conditions 70
Ore-conditions, primary decomposition 83
Projective objects 9
Property  96 103
Ring, Cohen — Macaulay 1 3 4
Ring, completely projective 137
Ring, Gorenstein 134
Ring, graded 5
Ring, graded division 40
Ring, graded Goldie 71
Ring, GZ - ring 118
Ring, principal graded 3 8
Ring, Rees 4 5
Ring, regular 1 3 5
Ring, Zariski central (graded) 117
Ring, ZG - ring 118
Strict exact sequence 14
Strict morphism 14
Structure sheaf on Proj 116
Torsion theory 83
Torsion theory, cogenerated 86
Torsion theory, hereditary 83
Torsion theory, rigid 84
Torsion theory, symmetric 91
Uniform simple 67
Weyl algebra 56
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