Endomorphisms of rank one mixed modules over discrete valuation rings

Warren May and Elias Hanna Toubassi

Vol. 108 (1983), No. 1, 155–163

DOI: 10.2140/pjm.1983.108.155

Abstract

Mixed modules over a discrete valuation ring with torsion-free rank one and simply presented torsion submodules are considered. It is proved that every isomorphism of endomorphism algebras of such modules is induced by an isomorphism of the modules.

Mathematical Subject Classification 2000

Primary: 13F30

Secondary: 16A65

Milestones

Received: 2 November 1981

Published: 1 September 1983