FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 2, PAGES 775-777

On direct summands of tensor product

E. B. Malyshev

Abstract

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It is shown that every direct summand of tensor product G ⊗ A of a torsion free rank 1 Abelian group A and Abelian group G of $ \mathfrak {J}_{PA} $ has a form $ \widetilde {G}\otimes A $, where $ \widetilde {G} $ is the subgroup of G isomorphic to some direct summand of G.


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