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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 1998 Volume 4, Issue 2, Pages 775–777 (Mi fpm317)

Short communications

On direct summands of tensor product

E. B. Malyshev

Nizhny Novgorod State Pedagogical University

Abstract: It is shown that every direct summand of tensor product $G\otimes A$ 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 $G$.

UDC: 512.541.7

Received: 01.05.1996



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