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Suppose P = Π/ Gt is a direct product of slender Λ-modules. If |/| is non-measurable and A is a direct summand of P, then A = YljAj where each Aj is isomorphic to a direct summand of a countable direct product of Gj's. If R = Z and P is a torsion-free reduced abelian group, then, if each Gι has rank one, A is a direct product of rank one groups.

Direct summands of direct products of slender modules