- STRONGLY IRREDUCIBLE SUBMODULES
- ATANI, SHAHABADDIN EBRAHIMI ;
- Bulletin of the Korean Mathematical Society, volume 42, issue 1, 2005, Pages 121~131
- DOI : 10.4134/BKMS.2005.42.1.121

Abstract

This paper is motivated by the results in [6]. We study some properties of strongly irreducible submodules of a module. In fact, our objective is to investigate strongly irreducible modules and to examine in particular when sub modules of a module are strongly irreducible. For example, we show that prime submodules of a multiplication module are strongly irreducible, and a characterization is given of a multiplication module over a Noetherian ring which contain a non-prime strongly irreducible submodule.