General formal local cohomology modules

• Datum: 2021
• 1. Verfasser: Rezaei, Sh.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2021
• Schlagworte: formal local cohomology; local cohomology; system of ideals; 13D45; 13C14.
• Online Zugang: 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...