ON GRADED LOCAL COHOMOLOGY MODULES DEFINED BY A PAIR OF IDEALS

Jahangiri, M.; Habibi, Z.

doi:10.22044/jas.2015.613

ON GRADED LOCAL COHOMOLOGY MODULES DEFINED BY A PAIR OF IDEALS

Document Type : Original Manuscript

Authors

M. Jahangiri ¹
Z. Habibi ²

¹ Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran AND Institute for Research in Fundamental Sciences (IPM) P.O.Box: 19395- 5746, Tehran, Iran.

² Department of Mathematics, University of Payame Noor, P.O.Box 19395-3697, Tehran, Iran.

10.22044/jas.2015.613

Abstract

Let

R = b i g o p l u s_{n i n m a t h b b N_{0}} R_{n}

be a standard
graded ring,

M

be a finitely generated graded

R

-module and

J

be a homogenous ideal of

R

. In this paper we study the graded
structure of the

i

-th local cohomology module of

M

defined by a
pair of ideals

(R_{+}, J)

, i.e.

H_{R_{+}, J}^{i} (M)

. More
precisely, we discuss finiteness property and vanishing of the
graded components

H_{R_{+}, J}^{i} (M)_{n}

.

Also, we study the Artinian property and tameness of certain
submodules and quotient modules of

H_{R_{+}, J}^{i} (M)

Keywords

ON GRADED LOCAL COHOMOLOGY MODULES DEFINED BY A PAIR OF IDEALS

Volume 3, Issue 2
January 2016
Pages 133-146

Files

Share

How to cite

Statistics

ON GRADED LOCAL COHOMOLOGY MODULES DEFINED BY A PAIR OF IDEALS

Volume 3, Issue 2January 2016Pages 133-146

Files

Share

How to cite

Statistics

Volume 3, Issue 2
January 2016
Pages 133-146