Representations over a Discrete Valuation Ring

Abstract

There are several choices for extending the definition of representations of finite posets over fields to representations over discrete valuation rings [Plahotnik 76]. The choice made herein arises naturally from the connection between representations of finite posets over discrete valuation rings and isomorphism at p categories of finite rank Butler groups; Section 4.3. Posets with finite representation type are characterized in Corollary 4.1.7.