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Glaz S. — Commutative Coherent Rings
Glaz S. — Commutative Coherent Rings

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Название: Commutative Coherent Rings

Автор: Glaz S.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1989

Количество страниц: 347

Добавлена в каталог: 02.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$(u,u^{-1})$-Lemma      172
(zero) Cohomology of an ideal, $R^I$      165
Alfonsi’s Reduction Theorem      254
Algebra exterior power, $\Lambda M$      78
Algebra finitely presented      40
Algebra symmetric, S(M)      307
Algebra tensor, T(M)      78
Algebra, T-algebra      118
Algebraically compact, $\aleph_0$      281
Alternating matrix      198 199
Ascend      108
Associated primes, Ass(M)      85
Augmentation ideal      295
Augmentation map      295
Augmentation of an element      295
Basis (of a free module)      1
Buchsbaum — Eisenbud exactness criteria      250
cartesian      15
Cartesian “general format”      150
Cocartesian square      16
Completion      191
Complex M.      101
Complex M. deleted, $X_{M.}$      229
Complex M. homology (of complex), H(M), $H_n(M)$      101
Complex M. Koszul, K.(f,M)      102 103
Complex M. tensor product (of complexes)      102
Content of a polynomial c(f)      226
Content of an ideal c(I)      226
D+M construction      159
Depth (of a module), depth M      248
Descend      108
Differentiation      101
Dimension finitistic projective (of a ring), FP dim      61
Dimension global (of a ring), gl.dim      19
Dimension infective (of a module), inj.dim      18
Dimension Ng (of a module)      221
Dimension Ng (of a ring)      221
Dimension projective (of a module), proj.dim      17
Dimension pure (of a module), pure dim      63
Dimension pure (of a ring)      65
Dimension small finitistic projective (of a module), fP dim M,      244
Dimension small finitistic projective (of a ring), fP dim      61
Dimension weak (of a module), w.dim M      19
Dimension weak (of a ring), w.dim      20
Divisor (of a module), d(M)      205
Domain Bezout      25
Domain Dedekind      27
Domain finite conductor      160
Domain G.C.D.      207
Domain G.D.      172
Domain G.U.      172
Domain L.O.      172
Domain Prufer      24
Domain unique factorization      207
Domain valuation      23
Duality homomorphism      5
Envelope infective, E(M)      5
Epimorphism flat      13
Euler characteristic, X(M)      99
Extension ring      108
Extension, essential      5
Extension, flat epimorphic      13
Extension, ideally closed      282
Extension, maximal flat epimorphic, M(R)      130
Extension, trivial, $R \alpha M$      139
Fitting invariant (ideal), $F_\Gamma(M)$      96
Going down      172
Going up      172
Grade, $\textrm{grade}_R(M,N)$      230 243
Grade, local, $g_P(I)$      251
Height      204
Hilbert Syzygies Theorem      23
Ideal, almost complete intersection      198
Ideal, augmentation      295
Ideal, conductor      174
Ideal, divisorial      204
Ideal, fractionary      204
Ideal, inverse (of an), $I^{-1}$      24 204
Ideal, invertible      24 204
Ideal, perfect      198
Ideal, T—nilpotent      61
Incomparable      172
Integral closure      170
Irreducible components      74
Isolated subgroup      24
Jensen‘s Lemma      22
Krull Akizuki Theorem      170
Lattice      29
Lying over      171
Macauley example      195
Map augmentation, aug      295
Map chain      101
Map homotopic      229
Map homotopic over A      229
Map homotopic over f      229
Map null homotopic      228
Map uniformity      191
McCoy Theorem      211
Module, absolutely $\aleph_0$ pure      282
Module, absolutely pure      13
Module, coherent      41
Module, countably presented      282
Module, divisible      4
Module, faithful      112
Module, faithfully flat      9
Module, finitely presented      31
Module, flat      7
Module, free      1
Module, infective      3
Module, projective      1
Module, semisimple      26
Module, simple      25
Module, uniformly coherent      191
Module, universal infective      6
Mori Nagata Theorem      170
Nagata‘s Theorem      170
Overring proper      171
Pair coherent      182
Pair G.D.      183
Pair G.U.      183
Pair INC.      183
Pair L.O.      183
Pair module finite      183
Pair Noetherian      182
Pair normal      182
Pair normal of rings      182
Pfaffian      198
Pointwise inverse (of an element) $(a)^{-1}$      137
Pointwise invertible element (unit)      137
Presentation finite      32
Presentation, finite n-presentation      32
Presentation, n-presentation      31
Rank of a flat module      85
Rank of a free module      77
Rank of a module over a domain      84
Rank of a projective module      77
Rank of a valuation      24
Rank of an abelian group      84
Rees ring, R(I)      265
Resolution, finite      2
Resolution, free      2
Resolution, infective      4
Resolution, projective      2
retract      111
Retraction (map)      111
Ring, $\aleph_0$ algebraically compact      281
Ring, $\aleph_0$ self-injective      282
Ring, absolutely flat (Von Neumann regular)      27
Ring, boolean      28
Ring, coherent      44
Ring, complete boolean      292
Ring, completely integrally closed      24
Ring, countably complete boolean      292
Ring, divided      172
Ring, Gorenstein      148
Ring, group      294
Ring, hereditary      27
Ring, polynomial      228
Ring, power series      280
Ring, reduced      87
Ring, regular      200
Ring, regular, of continuous functions      321
Ring, regular, of global dim 2      212
Ring, regular, of weak dim 2      219
Ring, self-associated      92
Ring, self-injective      123
Ring, semihereditary      26
Ring, semisimple      26
Ring, stably coherent ring      255
Ring, super regular      210
Ring, total of quotients      112
Ring, unibranched      172
Ring, uniformly coherent      191
Ring, universal absolutely flat      137
Schanuel‘s Lemma      3
Sequence, regular      235
Sets, completely separated      322
Sets, cozero (of a function)      322
Sets, disjoint      282
Sets, negative (of a function)      322
Sets, orthogonal      282
Sets, positive (of a function)      322
Sets, zero (of a function)      322
Socle      200
Space completely regular      322
Space connected      74
Space Hausdorff      74
Space Noetherian      74
Space, $T_0$      74
Space, basically disconnected      322
Space, P-space      327
Spectrum (of a ring), Spec(R)      73
Spectrum (of a ring), Spec(R), maximal, Max(R)      219
Spectrum (of a ring), Spec(R), minimal, Min(R)      86
Submodule $\aleph_0$ pure      281
Submodule pure      11
Support of a module, Supp(M)      95
Support of an element      294
Support subgroup      294
System of linear equations (countable)      281
System of parameters (regular)      319
Total ring of quotients, Q(R)      112
Trace (of a module), $\tau(M)$      83
Unique divisibility      301
Upper of zero      265
Urysohn‘s Extension Theorem      323
Valuation      24
Valuation discrete      23
Valuation domain      23
Valuation rank of a      24
Value group      24
Wedderburn theorem      26
Zariski topology      73
Zariski topology locally (for the Zariski topology)      75
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