On \(\Sigma\)-skew reflexive-nilpotents-property for rings

• Date: 2024
• Main Authors: Suárez, Héctor, Higuera, Sebastián, Reyes, Armando
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2024
• Subjects: RNP ring; skew polynomial ring; skew PBW extension; 16S36; 16S80; 16U99; 16W20; 16N40
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1922
• Journal Title: Algebra and Discrete Mathematics

In this paper, we study the reflexive-nilpotents-property (briefly, RNP) for skew PBW extensions. With this aim, we introduce the \(\Sigma\)-skew CN and \(\Sigma\)-skew reflexive (RNP) rings. Under conditions of compatibility, we investigate the transfer of the reflexive-nilpotents-property from a r...