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 this paper, we describe a novel way of identifying Adams spectral sequence $ E_2 $-
terms in terms of homological algebra of quiver representations. Our method applies much …

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 centralizer of a matrix in a full matrix algebra is called a principal centralizer matrix
algebra. Characterizations are presented for principal centralizer matrix algebras to be …

We generalise a theorem of Tachikawa about reflexive Auslander-Reiten sequences. We
apply this to give a new characterisation of the dominant dimension of gendo-symmetric …

Abstract A pair (A, P) is called a cover of End A (P) op if the Schur functor Hom A (P,−) is fully
faithful on the full subcategory of projective A-modules, for a given projective A-module P. By …

Derived equivalences between finite dimensional algebras do, in general, not pass to
centraliser (or other) subalgebras, nor do they preserve homological invariants of the …

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

The famous Nakayama conjecture states that the dominant dimension of a non-selfinjective
finite dimensional algebra is finite. Yamagata (Frobenius algebras handbook of algebra, vol …

Motivated by the relation between Schur algebra and the group algebra of a symmetric
group, along with other similar examples in algebraic Lie theory, Min Fang and Steffen …