… modules and projective modules of rank one over commutative Noetherian rings with identity.
Let C be a semidualizing module over … The two classes of R-modules ACpRq and BCpRq, …

… R(M, N) and finiteness of certain homological dimension of … by Tony Se on n-semidualizing
modules. In particular, we … two, the class of 1-semidualizing modules form a subgroup of the …

… homological conjectures over the idealization ring R ⋉ M. First, if N is a R ⋉ k-module, we …
(iii) Suppose that R is the quotient of a regular local ring by a regular sequence of elements …

… Let R , S be arbitrary rings, let C S R be a semidualizing bimodule and let M ∈ Mod ⁡ R . …
module is C-injective, and that M is C-Gorenstein flat implies that its character module is C-…

… Gorenstein homological dimensions with respect to a semidualizing module have been widely
… dimension of modules with respect to a semidualizing module over a commutative ring. A …

… homological properties of the conormal module, in this paper, we define the characteristic
module TM and the cocharacteristic module … functorial aspects of characteristic modules and …

… We also study a connection to the theory of semidualizing modules (see Corollary 3.8) and
use it … Freeness criteria for M/I M via (co)homology vanishing. We close the section providing …

… a semidualizing (R, S)-bimodule. As applications of the above result, we get that if S is right
coherent and C is faithfully semidualizing, … homological algebra, the Gorenstein homological …

… semidualizing module have been the subject of numerous studies with interesting extensions
of the classical homological … C without forfeiting the essential characteristics that make it an …

… 12] introduced the so-called semidualizing modules and related Auslander and Bass classes…
Let R and S be arbitrary rings and RCS a semidualizing bimodule, and let AC(S) and BC(R) …