Finiteness Properties of Minimax and $\mathfrak{a}$-Minimax Generalized Local Cohomology Modules

• Date: 2013
• Main Authors: Kianezhad, A., Taherizadeh, A. J., Кіанежад, А., Тахерізадех, А. Й.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2464
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let $R$ be a commutative Noetherian ring with nonzero identity, let $\mathfrak{a}$ be an ideal of $R$, and let $M$ and $N$ be two (finitely generated) $R$-modules. We prove that $H_{\mathfrak{a}}^i\left( {M,N} \right)$ is a minimax $\mathfrak{a}$-cofinite $R$-module for all $i