|
Fundamentalnaya i Prikladnaya Matematika, 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 $G$.
Received: 01.05.1996
Citation:
E. B. Malyshev, “On direct summands of tensor product”, Fundam. Prikl. Mat., 4:2 (1998), 775–777
Linking options:
https://www.mathnet.ru/eng/fpm317 https://www.mathnet.ru/eng/fpm/v4/i2/p775
|
|