H-supplemented duo modules

Abstract

Let M be a right R-module. M is called H-supplemented if for a submodule A of M there exists a direct summand D of M such that M = A + X holds if and only if M = D + X. Let M = M-1 circle plus M-2 be a duo module. Then M is H-supplemented if and only if M1 and M-2 are H-supplemented modules.