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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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2020 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2020
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/188564 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions / A. Niño, A. Reyes // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 207–229. — Бібліогр.: 62 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862741817979568128 |
|---|---|
| author | Niño, A. Reyes, A. |
| author_facet | Niño, A. Reyes, A. |
| citation_txt | Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions / A. Niño, A. Reyes // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 207–229. — Бібліогр.: 62 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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 | 2025-12-07T20:21:54Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188564 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T20:21:54Z |
| publishDate | 2020 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Niño, A. Reyes, A. 2023-03-06T14:37:07Z 2023-03-06T14:37:07Z 2020 Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions / A. Niño, A. Reyes // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 207–229. — Бібліогр.: 62 назв. — англ. 1726-3255 DOI:10.12958/adm1307 2010 MSC: Primary 16S32, 16S36, 16P40; Secondary 16N40, 16W20, 16W25 https://nasplib.isofts.kiev.ua/handle/123456789/188564 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. Dedicated to professor Oswaldo Lezama for his brilliant academic career at the Universidad Nacional de Colombia, Sede Bogotá
 Supported by the research fund of Department of Mathematics, Faculty of Science, Universidad Nacional de Colombia, Bogotá, D. C., Colombia, HERMES CODE 41535. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions Article published earlier |
| spellingShingle | Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions Niño, A. Reyes, A. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188564 |
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