Paper Information

Title: 

RELATIVE FLATNESS AND ASYMPTOTIC BEHAVIOUR

Type: PAPER
Author(s): DOROSTKAR F.*,ANSARI TOROGHI H.
 
 *DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE, UNIVERSITY OF GUILAN
 
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 be a commutative ring and let I be an ideal of R. Let M be a Noetherian R-modules. Let F be an R-module which is flat relative to M. Suppose M0 is a submodule of M and let T = FÄR −.
Then it is shown that the sequences of sets  AssR(T(M)/In(T(M’))) and AssR(In(T(M))/In(T(M’))), n
ÎN are ultimately constant.

 
Keyword(s): FLATNESS, ASSOCIATED PRIMES, WEAKLY ASSOCIATED PRIMES, ATTACHED PRIMES
 
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