On Prime and Primary Submodules
Shahabaddin E. Atani* and Farkhondeh Farzalipour* Author for corresponding; e-mail address: ebrahimi@guilan.ac.ir
Volume: Vol.32 No.1 (JANUARY 2005)
Research Article
DOI:
Received: 29 March 2004, Revised: -, Accepted: 20 July 2004, Published: -
Citation: Atani S.E. and Farzalipour F., On Prime and Primary Submodules, Chiang Mai Journal of Science, 2005; 32(1): 5-9.
Abstract
This paper is devoted to study some properties of prime and primary submodules. First, by using the notion product of two submodules of a multiplication module we studied the radical of such submodules and related results. Second, we gave a condition which allows us to determine whether submodules of a module have prime radical.