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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 $G$.

Full text: PDF file (123 kB)

Bibliographic databases:
UDC: 512.541.7
Received: 01.05.1996

Citation: E. B. Malyshev, “On direct summands of tensor product”, Fundam. Prikl. Mat., 4:2 (1998), 775–777

Citation in format AMSBIB
\Bibitem{Mal98}
\by E.~B.~Malyshev
\paper On direct summands of tensor product
\jour Fundam. Prikl. Mat.
\yr 1998
\vol 4
\issue 2
\pages 775--777
\mathnet{http://mi.mathnet.ru/fpm317}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1801191}
\zmath{https://zbmath.org/?q=an:0970.20028}


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