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 |
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| Format: | Artikel |
| Sprache: | English |
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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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| 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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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| title |
A study on dual square free modules |
| spellingShingle |
A study on dual square free modules Medina-Bárcenas, M. Keskin Tütüncü, D. Kuratomi, Y. |
| title_short |
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_sort |
study on dual square free modules |
| author |
Medina-Bárcenas, M. Keskin Tütüncü, D. Kuratomi, Y. |
| author_facet |
Medina-Bárcenas, M. Keskin Tütüncü, D. Kuratomi, Y. |
| publishDate |
2021 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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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| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/188753 |
| 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. |
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2025-11-28T10:01:30Z |
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