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

• Datum: 2021
• Hauptverfasser: Niño, A., Reyes, A.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2021
• Schlagworte: minimal prime ideal; 2-primal ring; skew PBW extension; 16S32; 16S36; 16P40; 16N40; 16W20; 16W25
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1307
• Назва журналу: Algebra and Discrete Mathematics

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...