Representations of (D,O)-species and flat mixed matrix problems

Abstract

Abstract. The problem of describing representations of (D,O)-species is reduced to flat mixed matrix problems over discrete valuation rings and their common skew field of fractions.

(D,O)-species of bounded representation type

“…They play an important role in the representation theory of some classes of rings, for example, of right hereditary SPSD-rings. We use the main definitions and results from the previous paper [4].…”

“…The proof of this theorem is reduced to solving some flat mixed matrix problems over discrete valuation rings and their common skew field of fractions as it was developed in [4]. Throughout this paper all rings are assumed to be associative with identity.…”