Modules with minimax Cousin cohomologies

• Published in: Algebra and Discrete Mathematics
• Date: 2020
• Main Author: Vahidi, A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188558
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Modules with minimax Cousin cohomologies / A. Vahidi // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 1. — С. 143–149. — Бібліогр.: 16 назв. — англ.

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 p of R and for every integer n less than X—the height of p:...