Paper Information

Title: 

INTEGRAL CLOSURES AND HOMOLOGICAL DIMENSIONS

Type: PAPER
Author(s): NAGHIPOUR R.*
 
 *FACULTY OF MATHEMATICAL SCIENCES, UNIVERSITY OF TABRIZ 51666-16471, TABRIZ, 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: 

Throughout this talk, all rings considered will be commutative Noetherian and will have non-zero identity elements. Such a ring will be denoted by R and a typical ideal of R will be denoted by I. Let K be a non-zero finitely generated module over R. The concept of weakly GK-perfect ideal was introduced by Golod in [5]. He showed that, this new ideal has some nice properties. For instance, he proved that for a weakly GK-perfect ideal I of R, K is a canonical module for R if and only if ExtsR (R/I,K) is a canonical module for R/I, where s=gradeKI.

 
Keyword(s): GORENSTEIN DIMENSION, INTEGRAL CLOSURE, GK-DIMENSION, COHEN-MACAULAY DIMENSION, GK-PERFECT MODULE
 
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