Simplicial join via tensor product

被引：15

作者：

Sabzrou, Hossein ^{[1
]}

Tousi, Massoud ^{[1
,2
]}

Yassemi, Siamak ^{[1
,3
]}

机构：

[1] Inst Studies Theoret Phys & Math IPM, Sch Math, Tehran, Iran

[2] Shaheed Beheshti Univ, Dept Math, Tehran, Iran

[3] Univ Tehran, Dept Math, Tehran, Iran

来源：

MANUSCRIPTA MATHEMATICA | 2008年 / 126卷 / 02期

关键词：

D O I：

10.1007/s00229-008-0175-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let k be a field, and M and N two finitely generated graded modules over standard graded k-algebras A and B, respectively. We will study generalized, sequentially, almost, and approximately Cohen-Macaulay as well as clean, and pretty clean properties of the A circle times(k) B-module M circle times(k) N through the corresponding properties of M and N. The behavior of these properties with respect to the simplicial join of two simplicial (multi) complexes will be revealed as corollaries.

引用

页码：255 / 272

页数：18

共 21 条

[1]

[Anonymous], 1996, Combinatorics and commutative algebra

[2]

BJORNER A, SEQUENTIALLY COHEN M

[3]

Bruns W., 1998, COHEN MACAULAY RINGS

[4]

Dress A., 1993, BEITR ALGEBRA GEOM, V34, P45

[5]

Duval A.M., 1996, ELECT J COMBIN, V3

[6]

EISENBUD D, 1995, GRADUATE TEXTS MATH, V150

[7] A NOTE ON THE STANLEY-REISNER RING OF A JOIN AND OF A SUSPENSION [J].

FROBERG, R .

MANUSCRIPTA MATHEMATICA, 1988, 60 (01) :89-91

[8] APPROXIMATELY COHEN-MACAULAY RINGS [J].

GOTO, S .

JOURNAL OF ALGEBRA, 1982, 76 (01) :214-225

[9] Stanley decompositions and partitionable simplicial complexes [J].

Herzog, Juergen ;

Jahan, Ali Soleyman ;

Yassemi, Siamak .

JOURNAL OF ALGEBRAIC COMBINATORICS, 2008, 27 (01) :113-125

[10] Finite filtrations of modules and shellable multicomplexes [J].

Herzog, Juergen ;

Popescu, Dorin .

MANUSCRIPTA MATHEMATICA, 2006, 121 (03) :385-410

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