General formal local cohomology modules

• Date: 2021
• Main Author: Rezaei, Sh.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2021
• Subjects: formal local cohomology; local cohomology; system of ideals; 13D45; 13C14.
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1068
• Journal Title: 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...