Given an integer N≧2 and a self-orthogonal subcategory W of an abelian category A, we
investigate the W-Gorenstein N-complexes. We show that an N-complex G is W-Gorenstein …

In this paper, we contribute to the theory of reduced G-perfection and horizontal linkage of
modules over a commutative, Noetherian (typically, local) ring R, in the general setting …

Let R be a commutative Noetherian ring, and let C be a semidualizing R-module. For R-
modules M and N, the notions grade PC (M, N) and grade IC (M, N) are introduced as the …

In this paper we further develop the theory of linkage with respect to a semidualizing module
C introduced in 2018 by Dibaei and Sadeghi. It is shown that under certain conditions a …

Abstract Let T=(R 0 CS) be a formal triangular matrix ring with C a semidualizing (S, R)-
bimodule. It is proven that (1) A left S-module M in Bass class is C-torsionless (resp. C …

It is now well known that the conditions used by Auslander to define the Gorenstein
projective modules on Noetherian rings are independent. Recently, Ringel and Zhang …

The concepts of Ding projective, injective R-modules were first introduced by Ding and his
partners in [J. Aust. Math. Soc., 86 (2009), 323–338] and [J. Algebra Appl., 7 (4)(2008), 491 …

Let R be an arbitrary associated ring. For an integer N⩾ 2 and a self-orthogonal subcategory
WW of R-modules, we study the notion of Cartan-Eilenberg W WN-complexes. We show that …

Let (R, m) be a commutative Noetherian local ring of Krull dimension d, and let C be a
semidualizing R-module. In this paper, it is shown that if R is complete, then C is a dualizing …

We introduce and investigate in this paper a kind of Tate homology of modules over a
commutative coherent ring based on Tate ℱC-resolutions, where C is a semidualizing …