Let
G be a right module over a ring
R and let
QG denote the semi-primary classical right ring of quotients of
EndR(G). Modules
G and
H are
margimorphic if there are maps
a:G→H and
b:H→G such that
ab and
ba are regular elements in the respective endomorphism rings. The module
H is called a
marginal summand of G if
G is margimorphic to
H
H′ for some module
H′. We study the existence and uniqueness of marginal summands of
Gn for integers
n>0 in terms of finitely generated projective right
QG-modules. Some of these results extend to direct summands of
Gn for integers
n>0.