Co-Semisimple Modules and Multiplication Modules
Phannika Leksing and Jintana Sanwong** Author for corresponding; e-mail address: scmti004@chiangmai.ac.th
Volume: Vol.29 No.1 (APRIL 2002)
Research Article
DOI:
Received: 23 November 2001, Revised: -, Accepted: 4 Febuary 2002, Published: -
Citation: Leksing P. and Sanwong J., Co-Semisimple Modules and Multiplication Modules, Chiang Mai Journal of Science, 2002; 29(1): 31-33.
Abstract
Let R be a commutative ring with identity 1. We say that M is a multiplication R-module if each submodule N of M has the form MI for some ideal I of R. In this paper, we give some characteriza-tions of co-semisimple modules, and look at some ring theoretic and module theoretic properties and try to see how they transfer between R, S and M in case M is a multiplication module and S is the ring of endomorphisms of M.