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On a variation of co-coatomically supplemented modules |
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| รหัสดีโอไอ | |
| Creator | Emine Onal Kir |
| Title | On a variation of co-coatomically supplemented modules |
| Publisher | Maejo University |
| Publication Year | 2568 |
| Journal Title | Maejo International Journal of Science and Technology |
| Journal Vol. | 19 |
| Journal No. | 1 |
| Page no. | 80 |
| Keyword | co-coatomically ss-supplemented modules, co-coatomic submodules, semi-perfect rings, semi-local rings, left ss-perfect rings |
| Website title | Maejo International Journal of Science and Technology |
| ISSN | 1905-7873 |
| Abstract | Co-coatomically ss-supplemented modules are identified by extending the concept of ss-supplemented modules, and certain characteristics of co-coatomically ss-supplemented modules are demonstrated. It is established that the sum of a finite set of co-coatomically ss-supplemented modules remains co-coatomically ss-supplemented. Moreover, it is proven that any quotient module of a co-coatomically ss-supplemented module is also co-coatomically ss-supplemented. It is observed that if G is a co-coatomically ss-supplemented submodule of a module E with the condition that E/G lacks a maximal submodule, then E is co-coatomically ss-supplemented. It is demonstrated that the ring S is semi-perfect and Rad(S) Soc(S) if and only if S is semi-local and Rad(S) Soc(S) if and only if each left S-module is co-coatomically ss-supplemented. Furthermore, specific characteristics of co-coatomically ss-supplemented modules over Dedekind rings are examined. |
