… Auslander–Bridger approximation theorem for complexes of finitely generated projective
R-modules… version of the stable module theory developed by Auslander and Bridger [2]. So we …

… We extend the definition of n-spherical modules due to Auslander and Bridger. Namely, for
any subcategory X of mod R closed under stable isomorphism, we introduce the concept of n-…

… modules satisfying the Auslander-type conditions Gn(m); in particular, a module M in Mod R
is said to satisfy the Auslander … )proper (co)resolutions of modules in [H2] we will investigate …

… module, and studied linkage even further. In the present paper, we contribute to their theory
and also generalize results of Auslander and Bridger … by relative Auslander transpose, and …

… For a commutative ring R, we prove that neatness and P -purity coincide if and only if
every simple R-module S is finitely presented and an Auslander-Bridger transpose of S is …

… of modules satisfying the Auslander condition. Assume that AC is the class of left R-modules
satisfying the Auslander … by Auslander and Bridger [3] in the study of totally reflexive …

… for distributive lattices using higher Auslander-Reiten translates of the simple modules. …
The Auslander-Bridger transpose Tr M of a module M over a finite dimensional algebra with …

… modules over n-Auslander algebras. In section 3, we provide a necessary and sufficient
condition for higher Auslander … projective dimension of modules over higher Auslander algebras. …

… AuslanderGorenstein algebras. In fact, based on a description of torsion-free divisible modules
… be considered as a higher version of AuslanderBridger theorem that is a classical result …

… Furthermore, we show that n-minimal Auslander–Gorenstein … modules over the nminimal
Auslander–Gorenstein algebra Λ and give a description of all the projectiveinjective Λ-modules…