Dominant dimension is introduced into integral representation theory, extending the
classical theory of dominant dimension of Artinian algebras to projective Noetherian …

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 …

We show that the Auslander-Reiten conjecture on stable equivalences holds true for
principal centralizer algebras of matrices over an algebraically closed field, and that …

We consider the functor from the stable module category to the homotopy category
constructed by Kato. This functor gives an equivalence between the stable module category …

The stable module category has been realized as a subcategory of the unbounded
homotopy category of projective modules by Kato. We construct the triangulated hull of this …

Group algebras of symmetric groups and their Hecke algebras are in Schur-Weyl duality
with classical and quantised Schur algebras, respectively. Two homological dimensions, the …