(FUNDAMENTAL AND APPLIED MATHEMATICS)

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

## On direct summands of tensor product

E. B. Malyshev

Abstract

View as HTML     View as gif image    View as LaTeX source

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 $\mathfrak \left\{J\right\}_\left\{PA\right\}$ has a form $\widetilde \left\{G\right\}\otimes A$, where $\widetilde \left\{G\right\}$ is the subgroup of $G$ isomorphic to some direct summand of $G$.

All articles are published in Russian.

 Main page Editorial board Instructions to authors Contents of the journal

Location: http://mech.math.msu.su/~fpm/eng/98/982/98224h.htm