Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions
In this paper, we characterize the minimal prime ideals of skew PBW extensions over several classes of rings. We unify different results established in the literature for Ore extensions, and extend all of them to a several families of noncommutative rings of polynomial type which cannot be expressed...
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| Date: | 2021 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2021
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1307 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543421448060928 |
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| author | Niño, A. Reyes, A. |
| author_facet | Niño, A. Reyes, A. |
| author_sort | Niño, A. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2021-01-29T09:38:49Z |
| description | In this paper, we characterize the minimal prime ideals of skew PBW extensions over several classes of rings. We unify different results established in the literature for Ore extensions, and extend all of them to a several families of noncommutative rings of polynomial type which cannot be expressed as these extensions. |
| first_indexed | 2025-12-02T15:42:01Z |
| format | Article |
| id | admjournalluguniveduua-article-1307 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:42:01Z |
| publishDate | 2021 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-13072021-01-29T09:38:49Z Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions Niño, A. Reyes, A. minimal prime ideal, 2-primal ring, skew PBW extension 16S32, 16S36, 16P40; 16N40, 16W20, 16W25 In this paper, we characterize the minimal prime ideals of skew PBW extensions over several classes of rings. We unify different results established in the literature for Ore extensions, and extend all of them to a several families of noncommutative rings of polynomial type which cannot be expressed as these extensions. Lugansk National Taras Shevchenko University Facultad de Ciencias, Universidad Nacional de Colombia, Bogot\'a 2021-01-29 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1307 10.12958/adm1307 Algebra and Discrete Mathematics; Vol 30, No 2 (2020) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1307/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1307/823 Copyright (c) 2021 Algebra and Discrete Mathematics |
| spellingShingle | minimal prime ideal 2-primal ring skew PBW extension 16S32 16S36 16P40; 16N40 16W20 16W25 Niño, A. Reyes, A. Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions |
| title | Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions |
| title_full | Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions |
| title_fullStr | Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions |
| title_full_unstemmed | Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions |
| title_short | Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions |
| title_sort | some remarks about minimal prime ideals of skew poincaré-birkhoff-witt extensions |
| topic | minimal prime ideal 2-primal ring skew PBW extension 16S32 16S36 16P40; 16N40 16W20 16W25 |
| topic_facet | minimal prime ideal 2-primal ring skew PBW extension 16S32 16S36 16P40; 16N40 16W20 16W25 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1307 |
| work_keys_str_mv | AT ninoa someremarksaboutminimalprimeidealsofskewpoincareacutebirkhoffwittextensions AT reyesa someremarksaboutminimalprimeidealsofskewpoincareacutebirkhoffwittextensions |