Quasi-projective modules and the finite exchange property
Gary F. Birkenmeier1
Received24 Jun 1987
Abstract
We define a module M to be directly refinable if whenever M=A+B,
there exists A¯⊆A
and B¯⊆B
such that M=A¯⊕B¯
. Theorem. Let M be a quasi-projective
module. Then M is directly refinable if and only if M has the finite
exchange property.