Skew PBW extensions over symmetric rings

Our purpose in this paper is to characterize skew PBW extensions over several weak symmetric rings. As a consequence of our treatment, we extend results in the literature concerning the property of symmetry for commutative rings and skew polynomial rings.

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Date:2021
Main Authors: Reyes, A., Suárez, H.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2021
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1767
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-1767
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spelling oai:ojs.admjournal.luguniv.edu.ua:article-17672021-11-09T03:53:16Z Skew PBW extensions over symmetric rings Reyes, A. Suárez, H. symmetric ring, noncommutative ring, skew PBW extension Primary 16S36, 16S38; Secondary 14A22, 16T20 Our purpose in this paper is to characterize skew PBW extensions over several weak symmetric rings. As a consequence of our treatment, we extend results in the literature concerning the property of symmetry for commutative rings and skew polynomial rings. Lugansk National Taras Shevchenko University Universidad Nacional de Colombia, Sede Bogotá, Faculty of Science, Department of Mathematics, Code HERMES 52464 2021-11-09 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1767 10.12958/adm1767 Algebra and Discrete Mathematics; Vol 32, No 1 (2021) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1767/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1767/927 Copyright (c) 2021 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2021-11-09T03:53:16Z
collection OJS
language English
topic symmetric ring
noncommutative ring
skew PBW extension
Primary 16S36
16S38; Secondary 14A22
16T20
spellingShingle symmetric ring
noncommutative ring
skew PBW extension
Primary 16S36
16S38; Secondary 14A22
16T20
Reyes, A.
Suárez, H.
Skew PBW extensions over symmetric rings
topic_facet symmetric ring
noncommutative ring
skew PBW extension
Primary 16S36
16S38; Secondary 14A22
16T20
format Article
author Reyes, A.
Suárez, H.
author_facet Reyes, A.
Suárez, H.
author_sort Reyes, A.
title Skew PBW extensions over symmetric rings
title_short Skew PBW extensions over symmetric rings
title_full Skew PBW extensions over symmetric rings
title_fullStr Skew PBW extensions over symmetric rings
title_full_unstemmed Skew PBW extensions over symmetric rings
title_sort skew pbw extensions over symmetric rings
description Our purpose in this paper is to characterize skew PBW extensions over several weak symmetric rings. As a consequence of our treatment, we extend results in the literature concerning the property of symmetry for commutative rings and skew polynomial rings.
publisher Lugansk National Taras Shevchenko University
publishDate 2021
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1767
work_keys_str_mv AT reyesa skewpbwextensionsoversymmetricrings
AT suarezh skewpbwextensionsoversymmetricrings
first_indexed 2025-07-17T10:36:16Z
last_indexed 2025-07-17T10:36:16Z
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