Nebiyev, Celil and Sökmez, Nurhan (2024) Some properties of r-supplemented modules. Miskolc Mathematical Notes, 25 (2). pp. 933-938. ISSN 1787-2413
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Official URL: https://doi.org/10.18514/MMN.2024.4273
Abstract
In this work, r-supplemented modules are defined and some properties of these modules are investigated. It is proved that every factor module and every homomorphic image of an r-supplemented module are r-supplemented. Let M be an R-module and M = M1 + M2 + ⋯ + Mn. If Mi is r-supplemented for each i = 1,2,…,n, then M is also r-supplemented. Let M be an r-supplemented module. Then every finitely M−generated R-module is r-supplemented.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Kotegelt Import |
| Date Deposited: | 03 Dec 2024 10:56 |
| Last Modified: | 03 Dec 2024 12:18 |
| URI: | https://real.mtak.hu/id/eprint/210784 |
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