Modules with minimax Cousin cohomologies

• Date: 2020
• Main Author: Vahidi, A.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2020
• Subjects: Artinian modules; Bass numbers; Cousin complexes; local cohomology modules; minimax modules; 13D02; 13D03; 13D45; 13E10
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/528
• Journal Title: Algebra and Discrete Mathematics

‎Let \(R\) be a commutative Noetherian ring with non-zero identity and let \(X\) be an arbitrary \(R\)-module. In this paper, we show that if all the cohomology modules of the Cousin complex for \(X\) are minimax, then the following hold for any prime ideal \(\mathfrak{p}\) of \(R\) and for every in...