Generalized ⊕-supplemented modules
Let R be a ring and M be a left R-module. M is called generalized ⊕- supplemented if every submodule of M has a generalized supplement that is a direct summand of M. In this paper we give various properties of such modules. We show that any finite direct sum of generalized ⊕-supplemented modules is...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2010 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/154834 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Generalized ⊕-supplemented modules / H. Calısıcı, E. Turkmen // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 2. — С. 10–18. — Бібліогр.: 10 назв. — англ. |
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Calısıcı, H. Turkmen, E. 2019-06-16T05:38:23Z 2019-06-16T05:38:23Z 2010 Generalized ⊕-supplemented modules / H. Calısıcı, E. Turkmen // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 2. — С. 10–18. — Бібліогр.: 10 назв. — англ. 2000 Mathematics Subject Classification:16D10,16D99. https://nasplib.isofts.kiev.ua/handle/123456789/154834 Let R be a ring and M be a left R-module. M is called generalized ⊕- supplemented if every submodule of M has a generalized supplement that is a direct summand of M. In this paper we give various properties of such modules. We show that any finite direct sum of generalized ⊕-supplemented modules is generalized ⊕-supplemented. If M is a generalized ⊕-supplemented module with (D3), then every direct summand of M is generalized ⊕-supplemented. We also give some properties of generalized cover. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Generalized ⊕-supplemented modules Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| title |
Generalized ⊕-supplemented modules |
| spellingShingle |
Generalized ⊕-supplemented modules Calısıcı, H. Turkmen, E. |
| title_short |
Generalized ⊕-supplemented modules |
| title_full |
Generalized ⊕-supplemented modules |
| title_fullStr |
Generalized ⊕-supplemented modules |
| title_full_unstemmed |
Generalized ⊕-supplemented modules |
| title_sort |
generalized ⊕-supplemented modules |
| author |
Calısıcı, H. Turkmen, E. |
| author_facet |
Calısıcı, H. Turkmen, E. |
| publishDate |
2010 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
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Інститут прикладної математики і механіки НАН України |
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Article |
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Let R be a ring and M be a left R-module. M is called generalized ⊕- supplemented if every submodule of M has a generalized supplement that is a direct summand of M. In this paper we give various properties of such modules. We show that any finite direct sum of generalized ⊕-supplemented modules is generalized ⊕-supplemented. If M is a generalized ⊕-supplemented module with (D3), then every direct summand of M is generalized ⊕-supplemented. We also give some properties of generalized cover.
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| url |
https://nasplib.isofts.kiev.ua/handle/123456789/154834 |
| citation_txt |
Generalized ⊕-supplemented modules / H. Calısıcı, E. Turkmen // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 2. — С. 10–18. — Бібліогр.: 10 назв. — англ. |
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AT calısıcıh generalizedsupplementedmodules AT turkmene generalizedsupplementedmodules |
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2025-11-27T13:08:35Z |
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2025-11-27T13:08:35Z |
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1850852291699015680 |