… of m-periodic ( A , B ) -Gorenstein projective objects in abelian categories. These are objects
… , we obtain a particular family of m-periodic ( A , B ) -Gorenstein objects which we call weak. …

… ( ω , B ) -Gorenstein projective object has finite injective dimension relative to Z , and that
every 1-periodic ( Z , ν ) -Gorenstein injective object has finite projective dimension relative to B …

… -Gorenstein projective object has finite injective dimension relative to Z, and that every 1periodic
(Z,ν)-Gorenstein injective object … under coproducts and such that every object in GP(A,B) …

… m-periodic tilting object in an m-periodic triangulated category, which is a periodic analogue
of a tilting object … -Macaulay representations of Gorenstein singularities and commutative/…

… m-periodic tilting object in an m-periodic triangulated category, which is a periodic analogue
of a tilting object … –Macaulay representations of Gorenstein singularities and commutative/…

… alternative definition of the Gorenstein projective dimension. We show, among other things,
that (n-)perfect rings can be characterized in terms of Gorenstein homological dimensions, …

… over a finite dimensional Gorenstein algebra Λ over an … of singularity categories that the
object class of D sg ( R ) is … We call a finitely generated R-module M periodic if Ω R p ( M …

… We consider when the relative Gorenstein modules with respect to such a duality pair … (\mathcal
{X}\) be a class of objects in \(\mathcal {C}\). We define, for any object \(C \in \mathcal {C}\)…

… The study of m-periodic complexes over Γ is well studied. See [2], [4], [5], [6], [15] and [16]. …
is Krull-Schmidt if every object in C decomposes into a finite direct sum of objects having local …

… of N-complexes or m-periodic N-complexes. Setting N = 2 … Gorenstein injective objects of
A , is a Frobenius category with projective-injective objects given by Inj A , the injective objects …