Prime radical of Ore extensions over \(\delta\)-rigid rings

• Datum: 2018
• 1. Verfasser: Bhat, V. K.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: Radical; automorphism; derivation; completely prime; \(\delta\)-ring; Q-algebra; 16-XX; 16P40,16P50,16U20
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1073
• Назва журналу: Algebra and Discrete Mathematics

Let R be a ring. Let \(\sigma\) be an automorphism of R and \(\delta\) be a  \(\sigma\)-derivation of R. We say that R is a \(\delta\)-rigid ring if \(a\delta(a)\in P(R)\) implies \(a\in P(R)\), \(a \in R\); where P(R) is the prime radical of R. In this article, we find a relation between the prime...