RELATIVE COHEN-MACAULAYNESS AND RELATIVE UNMIXEDNESS OF BIGRADED MODULES

被引：11

作者：

Jahangiri, Maryam ^{[1
,2
]}

Rahimi, Ahad ^{[2
,3
]}

机构：

[1] Kharazmi Univ, Fac Math Sci & Comp, Tehran, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

[3] Razi Univ, Dept Math, Kermanshah, Iran

来源：

JOURNAL OF COMMUTATIVE ALGEBRA | 2012年 / 4卷 / 04期

关键词：

LOCAL COHOMOLOGY MODULES;

D O I：

10.1216/JCA-2012-4-4-551

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the finitely generated bigraded modules over a standard bigraded polynomial ring that are relative Cohen-Macaulay or relatively unmixed with respect to one of the irrelevant bigraded ideals. A generalization of Reisner's criterion for Cohen-Macaulay simplicial complexes is considered.

引用

页码：551 / 575

页数：25

共 13 条

[1]

Brodmann M., 1998, CAMBR STUD ADV MATH, V60

[2]

Bruns W., 1998, CAMBR STUD ADV MATH, V39

[3]

Chardin M., J COMMUTATIVE ALGEBR

[4] Cofinite modules and local cohomology [J].

Delfino, D ;

Marley, T .

JOURNAL OF PURE AND APPLIED ALGEBRA, 1997, 121 (01) :45-52

[5] ASYMPTOTIC BEHAVIOUR AND ARTINIAN PROPERTY OF GRADED LOCAL COHOMOLOGY MODULES [J].

Hassanzadeh, S. H. ;

Jahangiri, M. ;

Zakeri, H. .

COMMUNICATIONS IN ALGEBRA, 2009, 37 (11) :4095-4102

[6] On the radical of a monomial ideal [J].

Herzog, J ;

Takayama, Y ;

Terai, N .

ARCHIV DER MATHEMATIK, 2005, 85 (05) :397-408

[7]

HERZOG J, 2010, GTM, V260

[8] Local cohomology modules with infinite dimensional socles [J].

Marley, T ;

Vassilev, JC .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (12) :3485-3490

[9] Finitely graded local cohomology and the depths of graded algebras [J].

Marley, T .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (12) :3601-3607

[10] Tameness of local cohomology of monomial ideals with respect to monomial prime ideals [J].

Rahimi, Ahad .

JOURNAL OF PURE AND APPLIED ALGEBRA, 2007, 211 (01) :83-93

← 1 2 →