On epimorphisms to finitely generated modules

Edward Graham Evans, Jr.

Vol. 37 (1971), No. 1, 47–50

DOI: 10.2140/pjm.1971.37.47

Abstract

Serre’s theorem on projective modules says roughly that if a projective R module is big enough it can map onto R. Forster and Swan discuss how big a free module is needed to map onto a given finitely generated module. This note examines a common generalization of these results and extends Swan’s technique.

Mathematical Subject Classification 2000

Primary: 13C05

Milestones

Received: 5 August 1970

Published: 1 April 1971