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Villareal R.H. — Monomial algebras
Villareal R.H. — Monomial algebras

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Название: Monomial algebras

Автор: Villareal R.H.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2001

Количество страниц: 467

Добавлена в каталог: 25.11.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
a-invariant      99
Adjacency matrix      190
Admissible grading      220
Affine combination      210
Affine k-algebra      31
Affine space      45 210
Affine space, generated by a set      210
Algebra      23
Algebra of finite type      23
Algebra, finite      23
Algebra, finitely generated      23
Almost integral      74
Annihilator      4
Arithmetical rank      414
Artin — Rees lemma      85
Artinian, reduction      123
Artinian, ring      10
Ascending chain condition      2
Associated graded algebra      73
Associated matrix of a monomial subring      202
Associated prime of a module      5
Associated prime of an ideal      5
Atomic cycles      303
Betti numbers      61
Betti numbers, initial      188
Betti numbers, initial virtual      188
binomial      202
Binomial of a closed walk      282
Binomial, expansion      100 119
Binomial, ideal      202
Bipartite graph      163
Boundary complex      156
Bow tie      317
Buchberger algorithm      50
Buchberger criterion      51
Canonical module      106
Catenary ring      21
Cayley — Hamilton      22
Ceiling of a vector      234
Characteristic of a ring      2
Chinese remainder theorem      10
Chord of a cycle      194
Chordal graph      194
Circuit      297
Circuit of a graph      300
CoCoa      see "Computer algebra" 94
Codimension of a module      4
Codimension of an ideal      4
Cohen — Macaulay graph      168
Cohen — Macaulay ideal      20
Cohen — Macaulay module      18
Cohen — Macaulay ring      20
Complement of a graph      175
Complementary complex      172
Complete bipartite graph      182
Complete generically      68
Complete graph      163
Complete ideal      69
Complete intersection      20
Complete set theoretic      20
Composition series      9
Computer algebra systems, CoCoA      94
Computer algebra systems, Macaulay      53
Computer algebra systems, Normaliz      236
Computer algebra systems, PORTA      211
Cone      210
Cone of a complex      140
Cone over a graph      293
Cone, finitely generated      211
Conormal module      67
Content of a polynomial      339
Convex, combination      154 210
Convex, cone      210
Convex, hull      154 210
Convex, polyhedron      210
Convex, set      210
Cover complexity      166
Critical binomials      385
Critical binomials, full set      385
Cutpoint      175
CYCLE      163
Cycle, basis      291
Cycle, space      291
Cyclic polytope      158
D-tree      194
Danilov — Stanley formula      221
Dedekind — Mertens formula      339
Degree of a module      101
Degree of a vertex      162
Dehn — Sommerville equations      157
Depth of a module      18
Depth, lemma      18
Dickson's lemma      48
Dimension of a set      210
Dimension of a simplicial complex      138
Dimension, theorem      16
Discrete graph      162
Discrete valuation      378
Distance      163
Division algorithm      49
Dominant set      175
Duality in monomial subrings      268
Duality in Stanley— Reisner ideals      196
EDGE      161
Edge, cone      326
Edge, critical graph      168
Edge, generator      282
Edge, graph      188
Edge, ideal      168
Edge, ideal, generalized      256
Edge, subring      282
Ehrhart, polynomial      232
Ehrhart, polynomial, normalized      227
Ehrhart, ring      232
Ehrhart, ring, normalized      226
Elementary integral vector      297
Elementary vector      296
Elementary zonotope      302
Elimination order      52
Embedded prime      10
End vertex      162
Equations of a cone      216
Euler characteristic      141
Euler characteristic, reduced      141
Euler formula      156
Even cycle      163
Exact sequence      5
Exact sequence, short      5
Extended Rees algebra      72
Extremal Cohen — Macaulay ring      117
Extremal Gorenstein ring      115
f-vector of a complex      150
f-vector of a polytope      155
Face      138 211
Face, ideal      130
Face, ring      143
Facets of a cone      325
Facets of a simplicial complex      144
Faithfully flat      27
Farkas's lemma      218
Field of fractions      8
Filtration of a ring      81
Finite homomorphism      23
Finite length      9
Flag complexes      170
Flat homomorphism      27
Forest      163
Forms      13
Frobenius Number      378
Gauss lemma      339
Geometrically linked      30
Going down      26
Going up      26
Gorenstein graded ideal      112
Gorenstein ideal      22
Gorenstein ring      22
Graded algebra      16
Graded ideal      13
Graded map      13
Graded module      13
Graded ring      12
Graph      161
Graph, connected      162
Graph, connected components      162
Graver basis      284
Groebner basis      49
Groebner basis of toric ideals      203
Groebner basis, lexicographical      276
Groebner basis, reduced      49
H-configuration      314
h-vector of a C-M complex      152
h-vector of a complex      152
h-vector of a polytope      156
h-vector of a standard algebra      108
Height of an ideal      4
Herzog — Kuehl formulas      63
Hilbert basis theorem      2
Hilbert function      14 97
Hilbert polynomial      101
Hilbert polynomial of a face ring      150
Hilbert polynomial over an Artinian ring      15
Hilbert series      97
Hilbert series of a face ring      150
Hilbert — Burch theorem      62
Hochster configuration      314
Homogeneous element      13
Homogeneous ideal      13
Homogeneous resolution      61
Homogeneous ring      14
Homogeneous subring      224
Homogenization of an ideal      54
Homomorphism of algebras      23
Homomorphism of rings      2
Homomorphism, integral      23
Ideal of a subset      45
Ideal of linear type      67
Ideal of relations      35
Ideal, quotient      4
Improper face of a polyhedral set      211
Incidence matrix      294
Incidence matrix, Smith form      295
Independence number      165
Independent set of edges      163
Independent set of vertices      165
Induced subgraph      195
Initial degree      110
Initial ideal      48
Integral closure      23
Integral closure of a domain      26
Integral closure of an edge subring      320
Integral closure of ideals      69
Integral closure of monomial ideals      234
Integral closure of monomial subrings      218
Integral closure, commute with localizations      70 71
Integral extension      23
Integrally closed ideal      69
Integrally closed ring      26
Irreducible representation      214
Irreducible representation of a cone      215
Irreducible submodule      6
Irredundant decomposition of modules      7
Irrelevant maximal ideal      35
Isolated prime      10
Isolated vertex      162
Jacobian criterion      91
Jacobian ideal      92
Jacobian matrix      91
Jacobson radical      95
Join of graphs      332
Join of ideals      245
Join of simplicial complexes      140
Koenig Theorem      165
Koszul complex      28
Krull dimension      4
Krull intersection theorem      83
Krull Principal Ideal Theorem      19
Kruskal — Katona criterion      151
Lattice      135
Lattice of monomial ideals      135
Lattice, distributive      135
Laurent polynomials      80
Leading coefficient      48
Leading monomial      48
Leading term      48
Length of a module      9
Level algebra      274
Lex order      31 48
Linear resolution      63
Linear variety      210
Link of a face      143
Linkage class      30
Linkage class, even      30
Linkage of ideals      30
Local ring      2
localization      3
Localization at a prime      3
Locally a complete intersection      78
Log set      236
Macaulay      see "Computer algebra" 53
Macaulay, symbol      119
Macaulay, theorem      119
Marriage problem      165
Marriage problem, a generalization      330 331
Minimal primes of a module      9
Minimal primes of a ring      2
Minimal resolution      61
Minimum number of gens      58
Module of finite length      9
Module of fractions      3
Monomial curve      367
Monomial ideal      130
Monomial ideal of minimal covers      196
Monomial ideal of mixed products      248
Monomial order      48
Monomial ring      130
Monomial subring      201
Monomial subring of a graph      282
Monomial walk      283
Multiplicity of a face ring      154
Multiplicity of a graded module      15 101
Multiplicity over a local ring      85
Nakayama's lemma, general version      8
Nakayama's lemma, graded version      14
Neighbor set of a subset      163
Neighbor set of a vertex      182
Neighbourly polytope      158
Nilpotent element      4
Nilradical      4
Noether normalization of a monomial ring      39
Noether normalization of an edge subring      309 340 362
Noether normalization, homogeneous      39
Noether normalization, lemma      34
Noetherian module      1
Noetherian ring      1
Normal ideal      69
Normal polytope      228
Normal ring      26
Normality, descent      80 240
Normaliz      236
Normalization of a ring      26
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