Rad-supplements in injective modules
We introduce and study the notion of Rad-s-injective modules (i.e. modules which are Rad-supplements in the irinjective hulls). We compare this notion with another generalization of injective modules. We show that the class of Rad-s-injective modules is closed under finite direct sums. We characteri...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2016 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2016
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/155737 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Rad-supplements in injective modules / E. Buyukasik, R. Tribak // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 2. — С. 171-183. — Бібліогр.: 14 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862546783839715328 |
|---|---|
| author | Buyukasik, E. Tribak, R. |
| author_facet | Buyukasik, E. Tribak, R. |
| citation_txt | Rad-supplements in injective modules / E. Buyukasik, R. Tribak // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 2. — С. 171-183. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | We introduce and study the notion of Rad-s-injective modules (i.e. modules which are Rad-supplements in the irinjective hulls). We compare this notion with another generalization of injective modules. We show that the class of Rad-s-injective modules is closed under finite direct sums. We characterize Rad-s-injective modules over several type of rings, including semilocalrings, left hereditary rings and left Harada rings.
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| first_indexed | 2025-11-25T12:55:56Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-155737 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-25T12:55:56Z |
| publishDate | 2016 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Buyukasik, E. Tribak, R. 2019-06-17T11:33:37Z 2019-06-17T11:33:37Z 2016 Rad-supplements in injective modules / E. Buyukasik, R. Tribak // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 2. — С. 171-183. — Бібліогр.: 14 назв. — англ. 1726-3255 2010 MSC:16D50, 16D99, 16L30, 16L60. https://nasplib.isofts.kiev.ua/handle/123456789/155737 We introduce and study the notion of Rad-s-injective modules (i.e. modules which are Rad-supplements in the irinjective hulls). We compare this notion with another generalization of injective modules. We show that the class of Rad-s-injective modules is closed under finite direct sums. We characterize Rad-s-injective modules over several type of rings, including semilocalrings, left hereditary rings and left Harada rings. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Rad-supplements in injective modules Article published earlier |
| spellingShingle | Rad-supplements in injective modules Buyukasik, E. Tribak, R. |
| title | Rad-supplements in injective modules |
| title_full | Rad-supplements in injective modules |
| title_fullStr | Rad-supplements in injective modules |
| title_full_unstemmed | Rad-supplements in injective modules |
| title_short | Rad-supplements in injective modules |
| title_sort | rad-supplements in injective modules |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/155737 |
| work_keys_str_mv | AT buyukasike radsupplementsininjectivemodules AT tribakr radsupplementsininjectivemodules |