… local ring, semidualizing modules provide a common generalization of a dualizing module
and a free module of rank one. Foxby [6] first defined them (PG-modules of rank one). In [8], …

… We recall that an R-module C is semidualizing if the natural map R → HomR(C, C) is an …
ω is a semidualizing R-module and the Auslander class Aω(R) consists exactly of all R-modules …

… We refer to [17] for recent progress on infinitely generated tilting modules. One can also
compare the tilting theory to the theory of semi-dualizing complexes (or semi-dualizing modules), …

… Additionally, we provide criteria for a semidualizing module to be considered a canonical
module of a Cohen-Macaulay local ring, offering an improved version of [11, Theorem 3.6]. …

… Abstract:Let S and R be rings, SCR a (faithfully) semidualizing bi-module, and n 1 a natural
… and C-fpn-at modules. Then we investigate the classes of this modules, namely CfpnI(R) and …

… -Macaulay local ring having a canonical module ωR, then ωR is semidualizing. Also recall
that if R is a … Let C be a semidualizing R-module. Then, R is regular if and only if C is Ulrich. …

… Let C “ SCR be a faithfully semidualizing module. Then Bass class BCpSq is an exact category
… Jørgensen, Semi-dualizing modules and related Gorenstein homological dimensions, J. …

… divisor class groups and semidualizing modules for ladder … how many non-isomorphic
semidualizing modules the ring A t ( … , a finitely generated R-module C is semidualizing if Hom R ( …

In this work, we introduce the notion of $S$-1-absorbing primary submodule as an extension
of 1-absorbing primary submodule. Let $S$ be a multiplicatively closed subset of a ring $R…

… Additionally, it discuss the semidualization of the quantum double D(H). In section 3, we
provide an overview of the semidual lattice model of [19] and introduce the right-module triangle …