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
Дата:2024
Автор: Artemovych, O. D.
Формат: Стаття
Мова:English
Опубліковано: 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 Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-2203
record_format ojs
spelling 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
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