On (co)pure Baer injective modules
For a given class of R-modules Q, a module M is called Q-copure Baer injective if any map from a Q-copure left ideal of R into M can be extended to a map from R into M. Depending on the class Q, this concept is both a dualization and a generalization of pure Baer injectivity. We show that every modu...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2021 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2021
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188708 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On (co)pure Baer injective modules / M.F. Hamid // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 2. — С. 219–226. — Бібліогр.: 4 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862615407811100672 |
|---|---|
| author | Hamid, M.F. |
| author_facet | Hamid, M.F. |
| citation_txt | On (co)pure Baer injective modules / M.F. Hamid // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 2. — С. 219–226. — Бібліогр.: 4 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | For a given class of R-modules Q, a module M is called Q-copure Baer injective if any map from a Q-copure left ideal of R into M can be extended to a map from R into M. Depending on the class Q, this concept is both a dualization and a generalization of pure Baer injectivity. We show that every module can be embedded as Q-copure submodule of a Q-copure Baer injective module. Certain types of rings are characterized using properties of Q-copure Baer injective modules. For example a ring R is Q-coregular if and only if every Q-copure Baer injective R-module is injective.
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| first_indexed | 2025-11-29T12:24:22Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-188708 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-29T12:24:22Z |
| publishDate | 2021 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Hamid, M.F. 2023-03-11T16:03:16Z 2023-03-11T16:03:16Z 2021 On (co)pure Baer injective modules / M.F. Hamid // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 2. — С. 219–226. — Бібліогр.: 4 назв. — англ. 1726-3255 DOI:10.12958/adm1209 2020 MSC: 16D50. https://nasplib.isofts.kiev.ua/handle/123456789/188708 For a given class of R-modules Q, a module M is called Q-copure Baer injective if any map from a Q-copure left ideal of R into M can be extended to a map from R into M. Depending on the class Q, this concept is both a dualization and a generalization of pure Baer injectivity. We show that every module can be embedded as Q-copure submodule of a Q-copure Baer injective module. Certain types of rings are characterized using properties of Q-copure Baer injective modules. For example a ring R is Q-coregular if and only if every Q-copure Baer injective R-module is injective. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On (co)pure Baer injective modules Article published earlier |
| spellingShingle | On (co)pure Baer injective modules Hamid, M.F. |
| title | On (co)pure Baer injective modules |
| title_full | On (co)pure Baer injective modules |
| title_fullStr | On (co)pure Baer injective modules |
| title_full_unstemmed | On (co)pure Baer injective modules |
| title_short | On (co)pure Baer injective modules |
| title_sort | on (co)pure baer injective modules |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188708 |
| work_keys_str_mv | AT hamidmf oncopurebaerinjectivemodules |