Paper Information

Title: 

MODULES WITH FINITELY MANY PRIME SUBMODULES

Type: PAPER
Author(s): NAGHIPOUR M.A.*
 
 *DEPARTMENT OF MATHEMATICS, SHIRAZ UNIVERSITY, COLLEGE OF SCIENCE, SHIRAZ UNIVERSITY, SHIRAZ, 71454 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 M be a unitary module over a commutative ring R. We say that M has FMP property if every prime submodule of M contains a finitely many prime submodules of M. In [4] we have given a characterization of free modules with this property. The main aim of this note is to study some properties of rings and modules with FMP property. Also we will generalize Cohen’s theorem for the Noetherian rings to the modules with FMP property.

 
Keyword(s): PRIME SUBMODULES, FLAT MODULES, FREE MODULES
 
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