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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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Інститут прикладної математики і механіки НАН України
2010
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/154834 |
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irk-123456789-1548342019-06-17T01:31:21Z Generalized ⊕-supplemented modules Calısıcı, H. Turkmen, E. 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. 2010 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/154834 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Calısıcı, H. Turkmen, E. |
| spellingShingle |
Calısıcı, H. Turkmen, E. Generalized ⊕-supplemented modules Algebra and Discrete Mathematics |
| author_facet |
Calısıcı, H. Turkmen, E. |
| author_sort |
Calısıcı, H. |
| title |
Generalized ⊕-supplemented modules |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT calısıcıh generalizedsupplementedmodules AT turkmene generalizedsupplementedmodules |
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2023-05-20T17:45:23Z |
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2023-05-20T17:45:23Z |
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1796154012480831488 |