General formal local cohomology modules

• Дата: 2021
• Автор: Rezaei, Sh.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2021
• Теми: formal local cohomology; local cohomology; system of ideals; 13D45; 13C14.
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1068
• Назва журналу: Algebra and Discrete Mathematics

Let \((R,\mathfrak{m})\) be a local ring, \(\Phi\) a system of ideals of \(R\) and \(M\) a finitely generated \(R\)-module. In this paper, we define and study general formal local cohomology modules. We denote the \(i\)th general formal local cohomology module \(M\) with respect to \(\Phi\) by \(\ma...