ABELIAN GROUPS FOR WHICH EVERY DIRECT PRODUCT IS A DIRECT SUM

Scott J. Beslin (U.S.A.)

Received November 14, 2008

Abstract

The article characterizes those abelian groups H having the property that every arbitrary external direct product  is isomorphic to a restricted direct sum  Such groups generalize those which are vector spaces over fields of characteristic zero.

Keywords and phrases: abelian group, direct product, direct sum, divisible group.