Relative Canonical Modules and Some Duality Results  

作　　者：Majid Rahro Zargar 

机构地区：[1]Department of Engineering Sciences, Faculty of Advanced Technologies University of Mohaghegh Ardabili, Namin, Ardabil, Iran [2]Department of Engineering Sciences, Faculty of Advanced Technologies Sabalan University of Advanced technologies (SUAT), Namin, Iran School of Mathematics, Institute for Research in Fundamental Sciences (IPM)

出　　处：《Algebra Colloquium》2019年第2期351-360,共10页代数集刊（英文版）

摘　　要：Let (R, m) be a relative Cohen–Macaulay local ring with respect to an ideal a of R and set c to be ht a. We investigate some properties of the Matlis dual of the R-module H^ca(R), and we show that such modules behave like canonical modules over Cohen–Macaulay local rings. Moreover, we provide some duality and equivalence results with respect to the module H^ca(R)^∨, and these results lead us to achieve generalizations of some known results, such as the local duality theorem, which have been provided over a Cohen–Macaulay local ring admiting a canonical R-module.

关 键 词：local COHOMOLOGY CANONICAL MODULE complex RELATIVE COHEN-MACAULAY MODULE 

分 类 号：O1[理学—数学]