Abstract
Let G be a right module over a ring R and let Q G denote the semi-primary classical right ring of quotients of End R ( 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 G n for integers n > 0 in terms of finitely generated projective right Q G -modules. Some of these results extend to direct summands of G n for integers n > 0 .
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