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

• Дата: 2018
• Автор: Bhat, V. K.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: Ore extension; automorphism; derivation; associated prime; 16-XX; 16N40; 16P40; 16S36
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/638
• Назва журналу: 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...