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STRONGLY IRREDUCIBLE SUBMODULES

  • Published : 2005.02.01

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.

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Cited by

  1. Zariski Topologies for Coprime and Second Submodules vol.22, pp.01, 2015, https://doi.org/10.1142/S1005386715000061
  2. ON THE NOTION OF STRONG IRREDUCIBILITY AND ITS DUAL vol.12, pp.06, 2013, https://doi.org/10.1142/S0219498813500126