Cohomological dimension and relative Cohen-Maculayness

被引：6

作者：

Divaani-Aazar, Kamran ^{[1
,2
]}

Doust, Akram Ghanbari ^{[3
]}

Tousi, Massoud ^{[2
,4
]}

Zakeri, Hossein ^{[3
]}

机构：

[1] Alzahra Univ, Dept Math, Tehran 19834, Iran

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

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

[4] Shahid Beheshti Univ, Dept Math, GC, Tehran, Iran

来源：

COMMUNICATIONS IN ALGEBRA | 2019年 / 47卷 / 12期

关键词：

Arithmetic rank; cohomological dimension; generalized fractions; local cohomology; relative Cohen-Macaulay module; system of parameters; MATLIS DUALS; MODULES; MACAULAYNESS; IDEALS; RANK;

D O I：

10.1080/00927872.2019.1623242

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a commutative Noetherian (not necessary local) ring with identity and be a proper ideal of R. We introduce a notion of -relative system of parameters and characterize them by using the notion of cohomological dimension. Also, we present a criterion of relative Cohen-Macaulay modules via relative system of parameters.

引用

页码：5417 / 5427

页数：11

共 22 条

[1]

André Y, 2018, PUBL MATH-PARIS, V127, P1, DOI 10.1007/s10240-017-0096-x

[2]

BARILE M, 2009, TOKYO J MATH, V32, P435, DOI DOI 10.3836/TJM/1264170241

[3] On the Arithmetical Rank of the Edge Ideals of Forests [J].

Barile, Margherita .

COMMUNICATIONS IN ALGEBRA, 2008, 36 (12) :4678-4703

[4]

Brodmann M.P., 2013, CAMBRIDGE STUDIES AD, V136

[5]

Celikbas O, 2017, NEW YORK J MATH, V23, P1697

[6] Cohomological dimension of certain algebraic varieties [J].

Divaani-Aazar, K ;

Naghipour, R ;

Tousi, M .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (12) :3537-3544

[7] A characterization of systems of parameters [J].

Dutta, SP ;

Roberts, PC .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (03) :671-675

[8] On the associated primes of Matlis duals of top local cohomology modules [J].

Hellus, M .

COMMUNICATIONS IN ALGEBRA, 2005, 33 (11) :3997-4009

[9] On cohomologically complete intersections [J].

Hellus, Michael ;

Schenzel, Peter .

JOURNAL OF ALGEBRA, 2008, 320 (10) :3733-3748

[10] Matlis duals of top local cohomology modules and the arithmetic rank of an ideal [J].

Hellus, Michael .

COMMUNICATIONS IN ALGEBRA, 2007, 35 (04) :1421-1432

← 1 2 3 →