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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| Datum: | 2024 |
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| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2024
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| Online Zugang: | 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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Algebra and Discrete Mathematics| _version_ | 1856543300811489280 |
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| author | Suárez, Héctor Higuera, Sebastián Reyes, Armando |
| author_facet | Suárez, Héctor Higuera, Sebastián Reyes, Armando |
| author_sort | Suárez, Héctor |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2024-04-21T17:47:57Z |
| 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]. |
| first_indexed | 2025-12-02T15:25:59Z |
| format | Article |
| id | admjournalluguniveduua-article-1922 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:25:59Z |
| publishDate | 2024 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| 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 |
| title | 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_short | On \(\Sigma\)-skew reflexive-nilpotents-property for rings |
| title_sort | on \(\sigma\)-skew reflexive-nilpotents-property for rings |
| topic | RNP ring skew polynomial ring skew PBW extension 16S36 16S80 16U99 16W20 16N40 |
| topic_facet | RNP ring skew polynomial ring skew PBW extension 16S36 16S80 16U99 16W20 16N40 |
| 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 |