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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: IRANIAN ALGEBRA SEMINAR
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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