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St-closed Submodule | ||
| Journal of Al-Nahrain University - Science | ||
| Article 1, Volume 18, Issue 3, 2015, Pages 141-149 | ||
| Authors | ||
| Muna A. Ahmed; Maysaa R. Abbas | ||
| Abstract | ||
| Throughout this paper R represents commutative ring with identity and M is a unitary left R-module, the purpose of this paper is to study a new concept, (up to our knowledge), named St-closed submodules. It is stronger than the concept of closed submodules, where a submodule N of an R-module M is called St-closed (briefly N ≤Stc M) in M, if it has no proper semi-essential extensions in M, i.e if there exists a submodule K of M such that N is a semi-essential submodule of K then N = K. An ideal I of R is called St-closed if I is an St-closed R-submodule. Various properties of St-closed submodules are considered. | ||
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