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

• Published in: Algebra and Discrete Mathematics
• Date: 2020
• ISSN: 1726-3255
• Main Authors: Niño, A., Reyes, A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188564
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...