Minimal non-\(BFC\) rings
We study associative rings in which every proper subring is \(BFC\) (i.e., has center of finite index) and obtain a characterization of minimal non-\(BFC\) unitary rings of finite characteristic.
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| Date: | 2024 |
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| Format: | Article |
| Language: | English |
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Lugansk National Taras Shevchenko University
2024
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2203 |
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| Journal Title: | Algebra and Discrete Mathematics |
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admjournalluguniveduua-article-22032024-02-14T18:40:04Z Minimal non-\(BFC\) rings Artemovych, O. D. \(BFC\)-ring, minimal non-\(BFC\) ring, radical ring, adjoint group We study associative rings in which every proper subring is \(BFC\) (i.e., has center of finite index) and obtain a characterization of minimal non-\(BFC\) unitary rings of finite characteristic. Lugansk National Taras Shevchenko University 2024-02-14 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2203 10.12958/adm2203 Algebra and Discrete Mathematics; Vol 36, No 2 (2023) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2203/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2203/1147 Copyright (c) 2024 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
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| datestamp_date |
2024-02-14T18:40:04Z |
| collection |
OJS |
| language |
English |
| topic |
\(BFC\)-ring minimal non-\(BFC\) ring radical ring adjoint group |
| spellingShingle |
\(BFC\)-ring minimal non-\(BFC\) ring radical ring adjoint group Artemovych, O. D. Minimal non-\(BFC\) rings |
| topic_facet |
\(BFC\)-ring minimal non-\(BFC\) ring radical ring adjoint group |
| format |
Article |
| author |
Artemovych, O. D. |
| author_facet |
Artemovych, O. D. |
| author_sort |
Artemovych, O. D. |
| title |
Minimal non-\(BFC\) rings |
| title_short |
Minimal non-\(BFC\) rings |
| title_full |
Minimal non-\(BFC\) rings |
| title_fullStr |
Minimal non-\(BFC\) rings |
| title_full_unstemmed |
Minimal non-\(BFC\) rings |
| title_sort |
minimal non-\(bfc\) rings |
| description |
We study associative rings in which every proper subring is \(BFC\) (i.e., has center of finite index) and obtain a characterization of minimal non-\(BFC\) unitary rings of finite characteristic. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2024 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2203 |
| work_keys_str_mv |
AT artemovychod minimalnonbfcrings |
| first_indexed |
2025-12-02T15:44:22Z |
| last_indexed |
2025-12-02T15:44:22Z |
| _version_ |
1850411856425910272 |