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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| Datum: | 2020 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2020
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| Schriftenreihe: | Algebra and Discrete Mathematics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/188564 |
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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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irk-123456789-1885642023-03-07T01:26:50Z Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions Niño, A. Reyes, A. 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. 2020 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/188564 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Niño, A. Reyes, A. |
| spellingShingle |
Niño, A. Reyes, A. Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions Algebra and Discrete Mathematics |
| author_facet |
Niño, A. Reyes, A. |
| author_sort |
Niño, A. |
| title |
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_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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2020 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
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AT ninoa someremarksaboutminimalprimeidealsofskewpoincarebirkhoffwittextensions AT reyesa someremarksaboutminimalprimeidealsofskewpoincarebirkhoffwittextensions |
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2025-07-16T10:40:19Z |
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2025-07-16T10:40:19Z |
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1837799750069387264 |