Notes on the Primal Submodules
Shahabaddin E. Atani and A. Yousefian Darani* Author for corresponding; e-mail address: yousefian@uma.ac.ir
Volume: Vol.35 No.3 (SEPTEMBER 2008)
Research Article
DOI:
Received: 2 November 2006, Revised: -, Accepted: 9 May 2008, Published: -
Citation: Atani S.E. and Darani A.Y., Notes on the Primal Submodules, Chiang Mai Journal of Science, 2008; 35(3): 399-410.
Abstract
In this note, we will make an intensive study of the notion of primal submodules of a module over a commutative ring with identity. First, a number of results concerning of primal submodules are given. Second, for a commutative ring R, the notion of primal Multiplication (resp. generalized primal multiplication module) over R is defined. Also, the relation among the families of weak multiplication modules, primal multiplication modules and generalized primal multiplication modules over a commutative ring is considered.