Associated prime ideals of weak \(\sigma\)-rigid rings and their extensions

• Date: 2018
• Main Author: Bhat, V. K.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Ore extension; automorphism; derivation; associated prime; 16-XX; 16N40; 16P40; 16S36
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/638
• Journal Title: Algebra and Discrete Mathematics

Let \(R\) be a right Noetherian ring which is also an algebra over \(\mathbb{Q}\) (\(\mathbb{Q}\) the  field of rational numbers). Let   \(\sigma\)  be  an automorphism  of   R  and  \(\delta\) a \(\sigma\)-derivation of \(R\). Let further \(\sigma\) be such that \(a\sigma(a)\in N(R)\) implies that...