Cancellation of modules and groups and stable range of endomorphism rings

Robert Breckenridge Warfield, Jr.

Vol. 91 (1980), No. 2, 457–485

DOI: 10.2140/pjm.1980.91.457

Abstract

In this paper, various cancellation properties for a module are shown to follow from facts about the stable range of its endomorphism ring, and a number of applications to the structure of modules, Abelian groups, and complex tori are given.

Mathematical Subject Classification

Primary: 16A54, 16A54

Secondary: 16A65

Milestones

Received: 27 July 1977

Published: 1 December 1980