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Algebra and Discrete Mathematics, 2020, Volume 30, Issue 2, Pages 207–229
DOI: https://doi.org/10.12958/adm1307 (Mi adm776) 		 
This article is cited in 8 scientific papers (total in 8 papers)

RESEARCH ARTICLE

Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions

A. Niño, A. Reyes

Department of Mathematics, Faculty of Science, Universidad Nacional de Colombia, Bogotá, D.C., Colombia
Full-text PDF (446 kB) Citations (8)
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DOI: https://doi.org/10.12958/adm1307
Abstract: 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.
Keywords: minimal prime ideal, 2-primal ring, skew PBW extension.
Funding agency Grant number
Universidad Nacional de Colombia
Supported by the research fund of Department of Mathematics, Faculty of Science, Universidad Nacional de Colombia, Bogotá, D. C., Colombia, HERMES CODE 41535.
Received: 19.12.2018
Bibliographic databases:
Document Type: Article
MSC: Primary 16S32, 16S36, 16P40; Secondary 16N40, 16W20, 16W25
Language: English
Citation: A. Niño, A. Reyes, “Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions”, Algebra Discrete Math., 30:2 (2020), 207–229
Citation in format AMSBIB
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\by A.~Ni\~no, A.~Reyes
\paper Some remarks about minimal prime ideals of~skew Poincar\'e-Birkhoff-Witt extensions
\jour Algebra Discrete Math.
\yr 2020
\vol 30
\issue 2
\pages 207--229
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\crossref{https://doi.org/10.12958/adm1307}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85093518879}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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