Semidistributive nearrings with identity

Semidistributive nearrings with identity

It is proved that the additive group of every semidistributive nearring \(R\) with an identity is abelian and if \(R\) has no elements of order 2, then the nearring \(R\) actually is an associative ring.

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Bibliographic Details
Date:2024
Main Authors: Raievska, I., Raievska, M., Sysak, Ya.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2024
Subjects:
nearring
semidistributive nearring
additive group
16Y30
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2207
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id admjournalluguniveduua-article-2207
record_format ojs
spelling admjournalluguniveduua-article-22072024-02-14T18:40:04Z Semidistributive nearrings with identity Raievska, I. Raievska, M. Sysak, Ya. nearring, semidistributive nearring, additive group 16Y30 It is proved that the additive group of every semidistributive nearring \(R\) with an identity is abelian and if \(R\) has no elements of order 2, then the nearring \(R\) actually is an associative ring. 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/2207 10.12958/adm2207 Algebra and Discrete Mathematics; Vol 36, No 2 (2023) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2207/pdf Copyright (c) 2024 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2024-02-14T18:40:04Z
collection OJS
language English
topic nearring
semidistributive nearring
additive group
16Y30
spellingShingle nearring
semidistributive nearring
additive group
16Y30
Raievska, I.
Raievska, M.
Sysak, Ya.
Semidistributive nearrings with identity
topic_facet nearring
semidistributive nearring
additive group
16Y30
format Article
author Raievska, I.
Raievska, M.
Sysak, Ya.
author_facet Raievska, I.
Raievska, M.
Sysak, Ya.
author_sort Raievska, I.
title Semidistributive nearrings with identity
title_short Semidistributive nearrings with identity
title_full Semidistributive nearrings with identity
title_fullStr Semidistributive nearrings with identity
title_full_unstemmed Semidistributive nearrings with identity
title_sort semidistributive nearrings with identity
description It is proved that the additive group of every semidistributive nearring \(R\) with an identity is abelian and if \(R\) has no elements of order 2, then the nearring \(R\) actually is an associative ring.
publisher Lugansk National Taras Shevchenko University
publishDate 2024
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2207
work_keys_str_mv AT raievskai semidistributivenearringswithidentity
AT raievskam semidistributivenearringswithidentity
AT sysakya semidistributivenearringswithidentity
first_indexed 2025-12-02T15:35:31Z
last_indexed 2025-12-02T15:35:31Z
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