Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 775-777
Citer cet article
E. B. Malyshev. On direct summands of tensor product. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 775-777. http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a23/
@article{FPM_1998_4_2_a23,
author = {E. B. Malyshev},
title = {On direct summands of tensor product},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {775--777},
year = {1998},
volume = {4},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a23/}
}
TY - JOUR
AU - E. B. Malyshev
TI - On direct summands of tensor product
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1998
SP - 775
EP - 777
VL - 4
IS - 2
UR - http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a23/
LA - ru
ID - FPM_1998_4_2_a23
ER -
%0 Journal Article
%A E. B. Malyshev
%T On direct summands of tensor product
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1998
%P 775-777
%V 4
%N 2
%U http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a23/
%G ru
%F FPM_1998_4_2_a23
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 $G$.
