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On Sm-Modules | ||
| Diyala Journal For Pure Science | ||
| Article 1, Volume 7, Issue 1, 2011, Pages 82-92 | ||
| Author | ||
| Hatam Yahya Khalaf | ||
| Abstract | ||
| AbstractLet R be a commutative ring with identity, and let M be a unitary R-module. Weintroduce a concept of sm-module as follows: M is called sm-module if and only if R ann Nis a semimaximal ideal of R, for each maximal submodule N of M.In this paper, some properties and characterizations of sm-modules is given also,various basic results a bout sm-module are considered. Moreover, some relations between smmodulesand other types of modules are considered. | ||
| Keywords | ||
| semimaximal ideal; Module | ||
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