Matematičeskie zametki, Tome 18 (1975) no. 6, pp. 895-902
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Yu. V. Roganov. The dimension of the tensor algebra of a projective bimodule. Matematičeskie zametki, Tome 18 (1975) no. 6, pp. 895-902. http://geodesic.mathdoc.fr/item/MZM_1975_18_6_a11/
@article{MZM_1975_18_6_a11,
author = {Yu. V. Roganov},
title = {The dimension of the tensor algebra of a~projective bimodule},
journal = {Matemati\v{c}eskie zametki},
pages = {895--902},
year = {1975},
volume = {18},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1975_18_6_a11/}
}
TY - JOUR
AU - Yu. V. Roganov
TI - The dimension of the tensor algebra of a projective bimodule
JO - Matematičeskie zametki
PY - 1975
SP - 895
EP - 902
VL - 18
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1975_18_6_a11/
LA - ru
ID - MZM_1975_18_6_a11
ER -
%0 Journal Article
%A Yu. V. Roganov
%T The dimension of the tensor algebra of a projective bimodule
%J Matematičeskie zametki
%D 1975
%P 895-902
%V 18
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1975_18_6_a11/
%G ru
%F MZM_1975_18_6_a11
It is proved that the dimension of the tensor algebra of a bimodule which is projective with one of the sides differs from the dimension of the ring over which this bimodule is considered by not more than one. A criterion for these dimensions to coincide is given.
