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JOURNALS // Algebra and Discrete Mathematics // Archive

Algebra Discrete Math., 2020 Volume 30, Issue 2, Pages 207–229 (Mi adm776)

This article is cited 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

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.

MSC: Primary 16S32, 16S36, 16P40; Secondary 16N40, 16W20, 16W25

Received: 19.12.2018

Language: English

DOI: 10.12958/adm1307



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© Steklov Math. Inst. of RAS, 2024