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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Видавець: | Lugansk National Taras Shevchenko University |
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Дата: | 2024 |
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Формат: | Стаття |
Мова: | English |
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Lugansk National Taras Shevchenko University
2024
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Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2203 |
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Algebra and Discrete Mathematicsid |
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oai:ojs.admjournal.luguniv.edu.ua: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 |
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 |
2024-04-12T06:13:58Z |
last_indexed |
2024-04-12T06:13:58Z |
_version_ |
1804810509974765568 |