Gorenstein Weak n-Silting Modules and Weak n-Star Modules

Q Yuan, H Yao - Bulletin of the Iranian Mathematical Society, 2023 - Springer
As generalizations of silting modules and star modules, respectively, the notions and basic
properties of Gorenstein weak n-silting and weak n-star modules are given. We mainly show …

Gorenstein injective filtrations over Cohen-Macaulay rings with dualizing modules

AJ Feickert, S Sather-Wagstaff - Algebras and Representation Theory, 2019 - Springer
Over a noetherian ring, it is a classic result of Matlis that injective modules admit direct sum
decompositions into injective hulls of quotients by prime ideals. We show that over a Cohen …

[PDF][PDF] Relative Matlis duality with respect to a semidualizing module

E Tavasoli, M Salimi - ssmr.ro
Let R be a commutative Noetherian ring and let C be a semidualizing R-module. The aim of
this paper is to introduce and study the relative version of Matlis duality with respect to C and …