On cofinitely ss-supplemented modules
In this paper, we introduce the concept of (amply) cofinitely ss-supplemented modules as a proper generalization of (amply) ss-supplemented modules, and we provide various properties of these modules. In particular, we prove that arbitrary sum of cofinitely ss-supplemented modules is cofinitely ss-s...
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| Date: | 2023 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Lugansk National Taras Shevchenko University
2023
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1668 |
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| Journal Title: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-16682023-02-08T16:55:57Z On cofinitely ss-supplemented modules Türkmen, B. N. Kılıç, B. (ample) ss-supplement, strongly local module, cofinite submodule, semiperfect ring 16D10, 16D50, 16N80 In this paper, we introduce the concept of (amply) cofinitely ss-supplemented modules as a proper generalization of (amply) ss-supplemented modules, and we provide various properties of these modules. In particular, we prove that arbitrary sum of cofinitely ss-supplemented modules is cofinitely ss-supplemented. Moreover, we show that a ring \(R\) is semiperfect and \(\operatorname{Rad}(R)\subseteq \operatorname{Soc}(_{R}R)\) if and only if every left \(R\)-module (amply) cofinitely ss-supplemented. Lugansk National Taras Shevchenko University Amasya University, Department of Mathematics 2023-02-08 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1668 10.12958/adm1668 Algebra and Discrete Mathematics; Vol 34, No 1 (2022) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1668/pdf Copyright (c) 2023 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2023-02-08T16:55:57Z |
| collection |
OJS |
| language |
English |
| topic |
(ample) ss-supplement strongly local module cofinite submodule semiperfect ring 16D10 16D50 16N80 |
| spellingShingle |
(ample) ss-supplement strongly local module cofinite submodule semiperfect ring 16D10 16D50 16N80 Türkmen, B. N. Kılıç, B. On cofinitely ss-supplemented modules |
| topic_facet |
(ample) ss-supplement strongly local module cofinite submodule semiperfect ring 16D10 16D50 16N80 |
| format |
Article |
| author |
Türkmen, B. N. Kılıç, B. |
| author_facet |
Türkmen, B. N. Kılıç, B. |
| author_sort |
Türkmen, B. N. |
| title |
On cofinitely ss-supplemented modules |
| title_short |
On cofinitely ss-supplemented modules |
| title_full |
On cofinitely ss-supplemented modules |
| title_fullStr |
On cofinitely ss-supplemented modules |
| title_full_unstemmed |
On cofinitely ss-supplemented modules |
| title_sort |
on cofinitely ss-supplemented modules |
| description |
In this paper, we introduce the concept of (amply) cofinitely ss-supplemented modules as a proper generalization of (amply) ss-supplemented modules, and we provide various properties of these modules. In particular, we prove that arbitrary sum of cofinitely ss-supplemented modules is cofinitely ss-supplemented. Moreover, we show that a ring \(R\) is semiperfect and \(\operatorname{Rad}(R)\subseteq \operatorname{Soc}(_{R}R)\) if and only if every left \(R\)-module (amply) cofinitely ss-supplemented. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2023 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1668 |
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AT turkmenbn oncofinitelysssupplementedmodules AT kılıcb oncofinitelysssupplementedmodules |
| first_indexed |
2025-07-17T10:35:15Z |
| last_indexed |
2025-07-17T10:35:15Z |
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1837890028166971392 |