The quasihereditary structure of the Auslander-Dlab-Ringel algebra

Given an arbitrary algebra A we may associate to it a special endomorphism algebra, RA, introduced by Auslander. Dlab and Ringel constructed a heredity chain for RA, proving that every algebra A has an associated highest weight theory. In this paper we investigate the quasihereditary structure of RA using an axiomatic approach.