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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2010 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2010
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/154834 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862594926851653632 |
|---|---|
| author | Calısıcı, H. Turkmen, E. |
| author_facet | Calısıcı, H. Turkmen, E. |
| citation_txt | Generalized ⊕-supplemented modules / H. Calısıcı, E. Turkmen // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 2. — С. 10–18. — Бібліогр.: 10 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-11-27T13:08:35Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154834 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| language | English |
| last_indexed | 2025-11-27T13:08:35Z |
| publishDate | 2010 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Generalized ⊕-supplemented modules Calısıcı, H. Turkmen, E. |
| title | Generalized ⊕-supplemented modules |
| title_full | Generalized ⊕-supplemented modules |
| title_fullStr | Generalized ⊕-supplemented modules |
| title_full_unstemmed | Generalized ⊕-supplemented modules |
| title_short | Generalized ⊕-supplemented modules |
| title_sort | generalized ⊕-supplemented modules |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154834 |
| work_keys_str_mv | AT calısıcıh generalizedsupplementedmodules AT turkmene generalizedsupplementedmodules |