Paper Information

Title: 

SOME ANNIHILATOR CONDITIONS IN COMMUTATIVE RINGS

Type: PAPER
Author(s): YOUSEFIAN DARANI A.*
 
 *DEPARTMENT OF MATHEMATICS UNIVERSITY OF MOHAGHEGH ARDABILI, ARDEBIL, 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 be a commutative ring and let M be an R-module. Denote by ZR(M) the set of all zero-divisors of R on M. M is called strongly primal (resp. super primal) if for arbitrary a, b Î ZR(M) (resp. every finite subset F of ZR(M)) the annihilator of {a, b} (resp. F) in M is non-zero. In this paper we give some results on these classes of modules. Also we provide a relationship among the families of primal, strongly primal and super primal modules.

 
Keyword(s): ZERO-DIVISOR GRAPH, PRIMAL IDEAL
 
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