Let A be an artin algebra. An A-module M will be said to be semi-Gorenstein-projective
provided that Ext i (M, A)= 0 for all i≥ 1. All Gorenstein-projective modules are semi …

Optimal upper bounds are provided for the dominant dimensions of Nakayama algebras and
more general algebras A with an idempotent e such that there is a minimal faithful injective …

In\cite {AB}, Auslander and Bridger introduced Gorenstein projective modules and only
about 40 years after their introduction a finite dimensional algebra $ A $ was found in\cite …

Gendo-symmetric algebras were introduced by Fang and Koenig (Trans. Amer. Math. Soc.,
7: 5037–5055, 2016) as a generalisation of symmetric algebras. Namely, they are …

We introduce the class of dominant Auslander-Gorenstein algebras as a generalisation of
higher Auslander algebras and minimal Auslander-Gorenstein algebras, and give their …

The category gp (Λ) of Gorenstein-projective modules over tensor algebra Λ= A⊗ k B can be
described as the monomorphism category mon (B, gp (A)) of B over gp (A). In particular …

Over a finite-dimensional algebra A, simple A-modules that have projective dimension one
have special properties. For example, Geigle-Lenzing studied them in connection to …

Given a finite dimensional algebra A over a field k, and a finite acyclic quiver Q, let Λ= A⊗ kk
Q/I, where kQ is the path algebra of Q over k and I is a monomial ideal. This paper is devoted …

Recently, Chen and Koenig in\cite {CheKoe} and Iyama and Solberg in\cite {IyaSol}
independently introduced and characterised algebras with dominant dimension coinciding …

Over a finite-dimensonal algbera $ A $, simple $ A $-modules that have projective
dimension one have special properties. For example, Geigle-Lenzing studied them in …