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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2020 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2020
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| Zitieren: | 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. |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions |
| spellingShingle |
Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions Niño, A. Reyes, A. |
| title_short |
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_sort |
some remarks about minimal prime ideals of skew poincaré-birkhoff-witt extensions |
| author |
Niño, A. Reyes, A. |
| author_facet |
Niño, A. Reyes, A. |
| publishDate |
2020 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/188564 |
| 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. |
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AT ninoa someremarksaboutminimalprimeidealsofskewpoincarebirkhoffwittextensions AT reyesa someremarksaboutminimalprimeidealsofskewpoincarebirkhoffwittextensions |
| first_indexed |
2025-12-07T20:21:54Z |
| last_indexed |
2025-12-07T20:21:54Z |
| _version_ |
1850882302008098816 |