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Van Oystaeyen F.M.J., Verschoren A.H.M.J. — Non-Commutative Algebraic Geometry: An Introduction
Van Oystaeyen F.M.J., Verschoren A.H.M.J. — Non-Commutative Algebraic Geometry: An Introduction



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Название: Non-Commutative Algebraic Geometry: An Introduction

Авторы: Van Oystaeyen F.M.J., Verschoren A.H.M.J.

Язык: en

Рубрика: Математика/

Серия: Lecture Notes in Mathematics

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 1st edition

Год издания: 1981

Количество страниц: 404

Добавлена в каталог: 09.09.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\sigma$-injective krull      122
Absolute residue class degree      368
Absolutely irreducible representation      84
Absolutely torsion free extension      153
Abstract non-singular curve      369
Abstract regular curve      369
Affine (n-)space      248
Affine algebra      60
Affine curve      359
Affine geometric space      239
Affine open set      243
Affine quasivariety      342
Affine variety      240
Algebra of valuation vectors      372
Algebraic monoid      306
Algebraic quasivariety      343
Algebraic variety      240
Amitsur-complex      161
Annihilator      15
Arithmetical pseudovaluation      365
Arithmetical ring      364
Arithmetically coherent      271
Arithmetically precoherent      271
Arithmetically prequasicoherent sheaf      271
Arithmetically quasicoherent sheaf      271
Artin — Rees module      275
Asano order      20
Azumaya algebra      67
Bimodule      72
Bimodule of quotients      135
Birational algebra      38
Birational extension      36
Birational invariant      360
Birational map of quasivarieties      345
Bounded (left) ring      21
Canonical class      375
Cellular variety      250
Center      72
Central kernel      53
Central polynomial      49
Central simple algebra      11
Centralizer of a subring      12
Classical quotient ring      14
Classical ring      275
Closed immersion      317
Closed presubvarieties      319
Closed subspace      317
Closed subvariety      321
Closed varietal pre-subspace      318
Codimension      331
Compatibility situation      126
Compatible kernel functor      26
Correspondence      382
Dedekind prime ring      21
Degree of a divisor      368
Different      378
Dimension of an algebraic variety      329
Discrete prime      365
Divisor      366
Dominant rational map      345
Dominating prime      364
Enveloping algebra      66
Enveloping ring      11
Equivalent representations      84
Essential $(\mathcal{D-})$ extension      123
Essential submodule      15
Eventually idempotent ideal      22
Extension of a ring      36
Faithful module      10
Faithfully (K-) injective object      25
Faithfully flat      73
Filter      128
Finite morphism      382
Flat extension for bimodules      73
Formanek center      54
Fractional left Ideal      20
Fully left bounded ring      21
Function ring of a varietal space      345
Generic algebra      48
Generic division ring      58
Generic matrices      58
Generic point      176
Genus of an affine curve      374
Geometric kernel functor      29
Geometric open set      178
Geometric product of varieties      297
Geometric space      231
Geometrically affine quasicoherent      284
Geometrically quasicoherent      283
Giraud subcategory      25
Global Zariski extension      38
Going down      211
Going up      211
Goldie ring      15
Gr-semisimple      102
Gr-simple      101
Graded bi-endomorphism ring      101
Graded birational algebra      114
Graded division ring      101
Graded Goldie ring      103
Graded kernel functor      105
Graded left module      100
Graded morphism      100
Hereditary (left) ring      17
Hereditary torsion theory      24
Hilbert algebra      60
Homogeneous element      100
Hypersymmetric kernel functor      129
Ideal divisor      366
Idele      372
Identity faithful ideal      87
Incomparability      211
Inner kernel functor      26
Integral divisor      366
Integral left ideal      20
Integral morphism      382
Inverse local different      378
Invertible ideal      20
Invertible sheaf      291
Irreducible set      176
Isomorphism of pregeometric spaces      239
Isotypic modules      9
Jacobson radical      10
Jacobson ring      60
Jacobson space      227
Kernel functor      24
Krull dimension      63
Lattice      17
Local component of valuation form      378
Local different      378
Localizable prime ideal      32
Lying over      211
Maximal left order      20
Maximal order      17
Morphism of algebraic monoids      307
Morphism of geometric spaces      231
Morphism of presheaves      170
Morphism of ringed spaces      215
Morphism of varietal spaces      239
Multilinear identity      46
n-kernel      53
Nonsingular      370
Normal ideal      19
Object of quotients      25
Open subvariety      252
Opposite ring      11
Order      17
Order (left)      20
Ore condition      14
Ore domain      13
P.I.-degree      48
P.I.-ring (algebra)      46
Parallelotope      372
Perfect torsion theory      29
Polynomial identities      46
Positively graded      100
Pre-cellular variety      250
Pregeometric space      230
Presheaf      170
Prime divisor      366
Primitive ring      10
Principal divisor      366
Projective (n-) space      248
Projective kernel functor      107
Proper identity      46
Proper set of discrete primes      365
Property T for bimodules      148
Pseudovaluation      364
Pure codimension      332
Quasi-Azumaya algebra      268
Quasihomeomorphism      233
Quotient ring      20
Radical kernel functor      39
Ramification index      368
Rational injection      348
Rational map      345
Reduced trace map      375
Reflector      25
Regular central polynomial      53
Relative residue class degree      368
Rigid kernel functor      104
Rigid T-functor      107
Section of a sheaf      173
Semisimple module      9
Semisimple ring      9
Separable algebra      66
Separated algebraic variety      295
Separated presheaf      171
Sheaf      171
Sheaf space      173
Simple module      9
Simple ring      10
Situation      120
Socle of a module      9
Splitting field      13
Stable kernel functor      275
Stalk of a presheaf      173
Standard identity      47
Strong morphism of varietal spaces      240
Symmetric kernel functor      29
T-functor      29
T-set      178
T-stalk      178
Topological dimension of algebraic varieties      329
Torsion free class      24
Torsion free extension      153
Torsion free object      24
Torsion object      24
Torsion theory      24
Twosided module of quotients      131
Uniformly simple      102
Valuation form      374
Varietal space      239
Zariski central      38
Zariski central K-variety      255
Zariski extension      36
Zariski topology      36
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