On \(\Sigma\)-skew reflexive-nilpotents-property for rings
In this paper, we study the reflexive-nilpotents-property (briefly, RNP) for skew PBW extensions. With this aim, we introduce the \(\Sigma\)-skew CN and \(\Sigma\)-skew reflexive (RNP) rings. Under conditions of compatibility, we investigate the transfer of the reflexive-nilpotents-property from a r...
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| Дата: | 2024 |
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| Автори: | , , |
| 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/1922 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-19222024-04-21T17:47:57Z On \(\Sigma\)-skew reflexive-nilpotents-property for rings Suárez, Héctor Higuera, Sebastián Reyes, Armando RNP ring, skew polynomial ring, skew PBW extension 16S36; 16S80; 16U99; 16W20; 16N40 In this paper, we study the reflexive-nilpotents-property (briefly, RNP) for skew PBW extensions. With this aim, we introduce the \(\Sigma\)-skew CN and \(\Sigma\)-skew reflexive (RNP) rings. Under conditions of compatibility, we investigate the transfer of the reflexive-nilpotents-property from a ring of coefficients to a skew PBW extension. We also consider this property for localizations on these families of noncommutative rings. Our results extend those corresponding presented by Bhattacharjee [9]. Lugansk National Taras Shevchenko University Faculty of Science, Universidad Nacional de Colombia - Sede Bogotá 2024-04-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1922 10.12958/adm1922 Algebra and Discrete Mathematics; Vol 37, No 1 (2024) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1922/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1922/953 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1922/1163 Copyright (c) 2024 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
RNP ring skew polynomial ring skew PBW extension 16S36 16S80 16U99 16W20 16N40 |
| spellingShingle |
RNP ring skew polynomial ring skew PBW extension 16S36 16S80 16U99 16W20 16N40 Suárez, Héctor Higuera, Sebastián Reyes, Armando On \(\Sigma\)-skew reflexive-nilpotents-property for rings |
| topic_facet |
RNP ring skew polynomial ring skew PBW extension 16S36 16S80 16U99 16W20 16N40 |
| format |
Article |
| author |
Suárez, Héctor Higuera, Sebastián Reyes, Armando |
| author_facet |
Suárez, Héctor Higuera, Sebastián Reyes, Armando |
| author_sort |
Suárez, Héctor |
| title |
On \(\Sigma\)-skew reflexive-nilpotents-property for rings |
| title_short |
On \(\Sigma\)-skew reflexive-nilpotents-property for rings |
| title_full |
On \(\Sigma\)-skew reflexive-nilpotents-property for rings |
| title_fullStr |
On \(\Sigma\)-skew reflexive-nilpotents-property for rings |
| title_full_unstemmed |
On \(\Sigma\)-skew reflexive-nilpotents-property for rings |
| title_sort |
on \(\sigma\)-skew reflexive-nilpotents-property for rings |
| description |
In this paper, we study the reflexive-nilpotents-property (briefly, RNP) for skew PBW extensions. With this aim, we introduce the \(\Sigma\)-skew CN and \(\Sigma\)-skew reflexive (RNP) rings. Under conditions of compatibility, we investigate the transfer of the reflexive-nilpotents-property from a ring of coefficients to a skew PBW extension. We also consider this property for localizations on these families of noncommutative rings. Our results extend those corresponding presented by Bhattacharjee [9]. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2024 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1922 |
| work_keys_str_mv |
AT suarezhector onsigmaskewreflexivenilpotentspropertyforrings AT higuerasebastian onsigmaskewreflexivenilpotentspropertyforrings AT reyesarmando onsigmaskewreflexivenilpotentspropertyforrings |
| first_indexed |
2024-04-21T19:20:15Z |
| last_indexed |
2024-04-21T19:20:15Z |
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1803076169908617216 |