A study on dual square free modules
Let M be an H-supplemented coatomic module with FIEP. Then we prove that M is dual square free if and only if every maximal submodule ofM is fully invariant. Let M = ⊕ i∈I Mi be a direct sum, such that M is coatomic. Then we prove that M is dual square free if and only if each Mi is dual square free...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2021 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2021
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188753 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | A study on dual square free modules / M. Medina-Bárcenas, D. Keskin Tütüncü, Y. Kuratomi // Algebra and Discrete Mathematics. — 2021. — Vol. 32, № 2. — С. 267-279. — Бібліогр.: 17 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862604650034757632 |
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| author | Medina-Bárcenas, M. Keskin Tütüncü, D. Kuratomi, Y. |
| author_facet | Medina-Bárcenas, M. Keskin Tütüncü, D. Kuratomi, Y. |
| citation_txt | A study on dual square free modules / M. Medina-Bárcenas, D. Keskin Tütüncü, Y. Kuratomi // Algebra and Discrete Mathematics. — 2021. — Vol. 32, № 2. — С. 267-279. — Бібліогр.: 17 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | Let M be an H-supplemented coatomic module with FIEP. Then we prove that M is dual square free if and only if every maximal submodule ofM is fully invariant. Let M = ⊕ i∈I Mi be a direct sum, such that M is coatomic. Then we prove that M is dual square free if and only if each Mi is dual square free for all i ∈ I and, Mi and ⊕ j̸≠i Mj are dual orthogonal. Finally we study the endomorphism rings of dual square free modules. Let M be a quasi-projective module. If EndR(M) is right dual square free, then M is dual square free. In addition, if M is finitely generated, then EndR(M) is right dual square free whenever M is dual square free. We give several examples illustrating our hypotheses.
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| first_indexed | 2025-11-28T10:01:30Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188753 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-28T10:01:30Z |
| publishDate | 2021 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Medina-Bárcenas, M. Keskin Tütüncü, D. Kuratomi, Y. 2023-03-14T17:10:39Z 2023-03-14T17:10:39Z 2021 A study on dual square free modules / M. Medina-Bárcenas, D. Keskin Tütüncü, Y. Kuratomi // Algebra and Discrete Mathematics. — 2021. — Vol. 32, № 2. — С. 267-279. — Бібліогр.: 17 назв. — англ. 1726-3255 DOI:10.12958/adm1512 2020 MSC: 16D40, 16D70 https://nasplib.isofts.kiev.ua/handle/123456789/188753 Let M be an H-supplemented coatomic module with FIEP. Then we prove that M is dual square free if and only if every maximal submodule ofM is fully invariant. Let M = ⊕ i∈I Mi be a direct sum, such that M is coatomic. Then we prove that M is dual square free if and only if each Mi is dual square free for all i ∈ I and, Mi and ⊕ j̸≠i Mj are dual orthogonal. Finally we study the endomorphism rings of dual square free modules. Let M be a quasi-projective module. If EndR(M) is right dual square free, then M is dual square free. In addition, if M is finitely generated, then EndR(M) is right dual square free whenever M is dual square free. We give several examples illustrating our hypotheses. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics A study on dual square free modules Article published earlier |
| spellingShingle | A study on dual square free modules Medina-Bárcenas, M. Keskin Tütüncü, D. Kuratomi, Y. |
| title | A study on dual square free modules |
| title_full | A study on dual square free modules |
| title_fullStr | A study on dual square free modules |
| title_full_unstemmed | A study on dual square free modules |
| title_short | A study on dual square free modules |
| title_sort | study on dual square free modules |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188753 |
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