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Villarreal R.H. — Monomial Algebras
Villarreal R.H. — Monomial Algebras



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Название: Monomial Algebras

Автор: Villarreal R.H.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2001

Количество страниц: 455

Добавлена в каталог: 18.11.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Normalization of an edge subring      320
Normalization of monomial subrings      218
Normalized degree      203
Normalized grading      265
Normalized volume      228
Normally torsion free      77
Normally torsion free, edge ideal      312
Normally torsion free, versus normal      79 238
Nullstellensatz      46
Numerical semigroup      377
Odd cycle condition      322
Order complex      170
Partition      150
Pascal identity      15
Path      162
Perfect matching      165
Polarization      131
Polarization of a bipartite planar graph      304
Polarization of an even closed walk      304
Polyhedral cone      210
Polyhedral set      210
Polyhedral set, face      211
Polyhedral set, facet      214
Polynomial function      15
Polynomial quasi-homogeneous      13
Polytopal subring      228
Polytope      154
Polytope, lattice      228
PORTA      211
POSET      169
Positively graded algebra      35
Presentation of a graded algebra      35
Presentation, ideal      35 66 202
Primary decomposition of a graded module      14
Primary decomposition of a module      7
Primary decomposition of an ideal      7
Primary decomposition of monomial ideals      132
Primary decomposition, irredundant      7
Primary ideal      6
Primary ideal, extension of      27
Primary submodule      6
Prime avoidance, general version      10
Prime avoidance, graded version      41
Primitive binomial      284
Projective closure      57
Projective closure of a monomial curve      375
Projective dimension      61
Projective space      56
Proper face of a polyhedral set      211
Proper face of a polytope      155
Pure resolution      62
Pure simplicial complex      145
Quasi-regular sequence      83
Radical ideal      76
Radical of an ideal      4
Rank of a module      10
Reduced ring      4
Reduced simplicial homology      139
Reduction number of an algebra      349
Reduction number of an ideal      339
Reduction of a polynomial      49
Rees algebra      66
Rees algebra of a filtration      81
Regular element      6
Regular ring      19
Regular ring is Cohen — Macaulay      89
Regular sequence      16
Reisner Theorem      143
Relative interior      215
Remainder      49
Residue field      2
Revlex order      48
Ring extension      23
S-polynomial      49
Samuel function      85
Saturated graph      177
Saturation of an ideal      53
Segre product      105
Segre variety      414
Semigroup      377
Semigroup, ring      201 367
Serre’s normality criterion      26
Set of k-products      256
Shellable complex      146
Shelling      146
Shift in the graduation      59
Simple components      368
Simple module      9
Simplex in affine space      155
Simplex of a simplicial complex      138
Simplex, lattice      228
Simplex, oriented      139
Simplex, unimodular      228
Simplicial complex      138
Simplicial complex, Alexander dual      198
Simplicial complex, Cohen — Macaulay      143
Simplicial complex, geometric realization      156
Simplicial polytope      155
Simplicial sphere      156
Simplicial sphere, Gorenstein property      157
Skeleton of a complex      145
Sliding depth      29
Socle of a graded algebra      111
Socle of a module      21
Spanning subgraph      162
Spectrum of a ring      2
Square      163
Square-free monomial      130
Standard algebra      35
Standard grading      13
Stanley — Reisner complex      142
Stanley — Reisner ideal      142
Stanley — Reisner ring      142
Star      187
Star of a face      148
Strongly Cohen — Macaulay      29
Subgraph      162
Subring of k-products      203
Support of a binomial      387
Support of a module      5
Support of a monomial      131 299
Support of a vector      296
Supporting hyperplane      211
Suspension of a graph      325
Symbolic power      76
Symbolic Rees algebra      238
Symmetric algebra      65 67
Symmetric semigroup      378
System of parameters      19
System of parameters for modules      16
System of parameters, homogeneous      36
Syzygetic ideal      67
Syzygy module      51 61
Syzygy module, computation of      52
Tensor algebra      65
Term order      48
Terminal cycle      316
Terms      48
Toric ideal      202 404
Toric ideal of an edge subring      282
Toric set      403
Toric variety      208
Total ring of fractions      8
Transcendence, basis      34
Transcendence, degree      34
TREE      163
triangle      163
Triangulated graph      194
Twists of a graded module      61
TYPE      266
Type of a module      21
Type, Cohen — Macaulay      112
Unicyclic graph      316
Unimodular covering      230
Unimodular matrix      295
Unimodular matrix, totally      414
Unmixed graph      168
Unmixed ideal      20
Upper bound conjecture      159
Usual grading      13
Valuation ring      378
Variety, affine      45
Variety, coordinate ring      45
Variety, dimension of      45
Variety, irreducible      45
Variety, irreducible components      46
Variety, projective      56
Variety, toric      208
Veronese subring      203
Veronese subring, square-free      203
Veronese variety      412
Vertex      212
Vertex cover      165
Vertex cover, minimal      165
Vertex covering number      165
Vertex critical graph      168
Walk      162
Walk, closed      162
Zariski closure      207
Zariski topology      45
Zariski topology of the prime spectrum      2
Zero divisor      6
Zero set of an ideal      45
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