The projectivity of Ext(T, A) as a module over E(T)

Joseph Nicholas Fadyn

Vol. 85 (1979), No. 2, 383–392

DOI: 10.2140/pjm.1979.85.383

Abstract

Let A and T be abelian groups. Then Ext(T,A) can be considered as a right module over E(T), the ring of endomorphisms of T. In this paper necessary and sufficient conditions are developed for Ext(T,A) to be E(T)-projective whenever T is reduced torsion and A is reduced.

Mathematical Subject Classification 2000

Primary: 20K10

Milestones

Received: 14 December 1977

Revised: 16 August 1978

Published: 1 December 1979