We give new properties of algebras with finite Gorenstein dimension coinciding with the
dominant dimension $\geq 2$, which are called Auslander-Gorenstein algebras in the …

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 …

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

We present examples of algebras A having dominant dimension n, for every n≥ 1, such that
the algebra B= End A (I 0⊕ Ω− n (A)) has dominant dimension different from n, where I 0 is …

Tachikawa's second conjecture for symmetric algebras is shown to be equivalent to
indecomposable symmetric algebras not having any non-trivial stratifying ideals. The …

Zusammenfassung Die Theorie der Clusteralgebren ist ein bemerkenswertes Gebiet der
Mathematik, das Symmetrien aus unterschiedlichen Bereichen der Mathematik erfasst. Der …