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Paper Information

Title: 

ASYMPTOTIC BEHAVIOUR OF DEPTH OF COMPONENTS OF GRADED LOCAL COHOMOLOGY MODULES

Type: PAPER
Author(s): JAHANGIRI MARYAM*,HASANZADEH H.,ZAKERI H.
 
 *SCHOOL OF MATHEMATICS AND COMPUTER SCIENCES, DAMGHAN UNIVERSITY OF BASIC SCIENCES, DAMGHAN, IRAN
 
Name of Seminar: SEMINAR ON ALGEBRA (SALG20)
Type of Seminar:  CONFERENCE
Sponsor:  TARBIAT MOALLEM UNIVERSITY, FACULTY OF MATHEMATICAL SCIENCES AND COMPUTER
Date:  2009Volume 20
 
 
Abstract: 

Let R =Än³0 Rn be a standard graded ring, a0 an ideal of the base ring R0 and let M be a non-zero finitely generated graded Rmodule. In this talk, we study the asymptotic behaviour of the sequence (grade (a0, HiR+ (M)n))nÎZ, of grades of components of the i-th graded local cohomology module, when n®˫¥, in the following cases:
(i) i = fR+(M);
(ii) i = gR+(M);
(iii) dim(R0)
£2.
To this end we study Artinian and tameness properties of certain graded local cohomology modules.

 
Keyword(s): GRADED LOCAL COHOMOLOGY MODULES, ASYMPTOTIC BEHAVIOUR, ARTINIAN MODULES
 
 
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