Irreducible submoduls and strongly irreducible submodules | ||
| Tikrit Journal of Pure Science | ||
| Article 1, Volume 17, Issue 4, December 2012, Pages 219-224 | ||
| Author | ||
| Nada Khalid Abdullah | ||
| Abstract | ||
| Throughout this work , all rings are considered commutative ring with identity and all modules are unitary. A submodule N of an R-module M is called irreducible if for each submodules N1 and N2 of M , such that N=N1∩ N2 , implies that either N= N1 or N = N2 . In this work we give generlization for the concepts irreducible submodule . We call a submodule N of M is a strongly irreducible submodule if for each submodules N1 and N2 of M , such that N1∩ N2 N , implies that either N1 N or N2 N . Furthermore , we generalize some properties of them . | ||
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