Modules with Chain Conditions on S-Closed Submodules
| Autor: | Rana Noori Majeed Mohammed |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Ibn Al-Haitham Journal for Pure and Applied Sciences, Vol 30, Iss 3 (2017) |
| Druh dokumentu: | article |
| ISSN: | 1609-4042 2521-3407 |
| DOI: | 10.30526/30.3.1618 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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