Let ℋ=(ℋ L, ℋ R, S) be a Hopf algebroid and A a left ℋ L-module algebra. In this paper, we
mainly present the duality theorem for the smash product A# ℋ L, and making use of integral …

Let H be a finite-dimensional Hopf algebra over a field k, and A a left H- module k- algebra.
We show that A# H is a CM-finite algebra if and only if A is a CM-finite algebra preserving …

Let H be a Hopf algebra and A an H-bimodule algebra. This article investigates homological
dimensions and Gorenstein dimensions of LR smash products A♮ H. Several well-known …

Let Λ and Γ be artin algebras and Λ U Γ a faithfully balanced selforthogonal bimodule. In this
paper, we first introduce the notion of k-Gorenstein modules with respect to Λ U Γ and then …

In this article, we investigate the Gorenstein global dimension with respect to the
recollements of abelian categories. With the invariants spli and silp of the categories, we …

Let A/B be a right H-Galois extension over a semisimple Hopf algebra H. The purpose of this
paper is to give the relationship of Gorenstein flat dimensions between the algebra A and its …

Let A be an abelian category and X,Y,Z additive full subcategories of A. We introduce and
study the Gorenstein category G(X,Y,Z) as a common generalization of some known …

Gorenstein Global Dimensions and Representation Dimensions for LR Smash Products Page 1
Algebr Represent Theor (2014) 17:1349–1358 DOI 10.1007/s10468-013-9451-x Gorenstein …

Gorenstein‐projective module is an important research topic in relative homological algebra,
representation theory of algebras, triangulated categories, and algebraic geometry …

Abstract Let Λ=\left () Λ=(AM 0 B) be an Artin algebra. In view of the characterization of
finitely generated Gorenstein injective Λ-modules under the condition that M is a …