A note on locally A-projective groups

Ulrich F. Albrecht

Vol. 120 (1985), No. 1, 1–17

DOI: 10.2140/pjm.1985.120.1

Abstract

If A is an abelian group, then a group G is locally A-projective if every finite subset of G is contained in a direct summand P of G which is isomorphic to a direct summand of ⊕_IA. Under the assumption that A is a torsion-free, reduced abelian group with a semi-prime, right and left Noetherian, hereditary endomorphism ring, various results on locally A-projective groups are proved that generalize structure theorems for homogeneous, separable, torsion-free abelian groups.

Mathematical Subject Classification 2000

Primary: 20K25

Secondary: 16A50

Milestones

Received: 20 December 1983

Published: 1 November 1985