Small Prime Modules and Small Prime Submodules

Authors

  • Layla S Mahmood Department of Mathematics, Ibn-Al-Haitham College of Education, University of Baghdad.

Keywords:

NON

Abstract

Let R be a commutative ring with identity, and M be a unital (left) R-module. In this paper we
introduce and study the concepts: small prime submodules and small prime modules as
generalizations of prime submodules and prime modules.
Among the results that we obtain is the following:
An R-module M is small prime if and only if the R-module R/annM is cogenerated by every
non-trivial small submodule of M.

Published

2012-12-01

Issue

Section

Articles

How to Cite

(1)
Small Prime Modules and Small Prime Submodules. ANJS 2012, 15 (4), 191-199.

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