Let L denote a finite lattice with at least two points and let A denote the incidence K-algebra
of L over a field K. We prove that L is distributive if and only if A is an Auslander regular ring …

A major part of Iyama's characterization of Auslander–Reiten quivers of representation-finite
orders $\Lambda $ consists of an induction via rejective subcategories of $\Lambda …

We study a one-dimensional analogue of representation-finite rings. For a left Noetherian
semilocal ring R, we define an R-lattice to be a finitely generated R-module with zero socle …

Let $\Lambda $ be a finite-dimensional algebra over a field $ K $. We describe how Buan
and Marsh's $\tau $-exceptional sequences can be used to give a" brick labeling" of a …

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 …

We study certain special tilting and cotilting modules for an algebra with positive dominant
dimension, each of which is generated or cogenerated (and usually both) by projective …

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

Let A be a tame concealed or tubular algebra and d the dimension-vector of a periodic
module with respect to the action of the Auslander–Reiten translation. We prove that the …

Let A be a finite dimensional algebra over field K and X a finitely generated A-module. X is
said to be reflexive (resp. torsionless) if the canonical map σ X: X→ X** is an isomorphism …

For a finite-dimensional algebra A, and an A-module M, it is interesting to analyse which
terms in the projective resolution of M are generated by a particular projective A-module …