Local cohomology modules and their properties

• Date: 2021
• Main Authors: Azami, J., Hasanzad, M.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2021
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/127
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.5 Let $(R, \mathfrak{m})$ be a complete Noetherian local ring and let $M$ be a generalized Cohen-Macaulay $R$-module of dimension $d \geq 2.$We show that$$D \left(H_{\mathfrak{m}}^d\Big(D \big(H_{\mathfrak{m}}^d(D_{\mathfrak{m}}(M))\big)\Big)\right) \approx D_{\mathfrak{m}} (M),$$where $D =...