Modules with Chain Conditions on S-Closed Submodules
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Abstract
Let L be a commutative ring with identity and let W be a unitary left L- module. A submodule D of an L- module W is called s- closed submodule denoted by D ≤sc W, if D has no proper s- essential extension in W, that is , whenever D ≤ W such that D ≤se H≤ W, then D = H. In this paper, we study modules which satisfies the ascending chain conditions (ACC) and descending chain conditions (DCC) on this kind of submodules.
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Modules with Chain Conditions on S-Closed Submodules. (2017). Ibn AL-Haitham Journal For Pure and Applied Sciences, 30(3), 227-235. https://doi.org/10.30526/30.3.1618
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Mathematics
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How to Cite
Modules with Chain Conditions on S-Closed Submodules. (2017). Ibn AL-Haitham Journal For Pure and Applied Sciences, 30(3), 227-235. https://doi.org/10.30526/30.3.1618