Matematičeskie zametki, Tome 4 (1968) no. 2, pp. 141-150
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F. R. Bobovich; D. K. Faddeev. Hochschild cohomologies for $Z$-rings with a power basis. Matematičeskie zametki, Tome 4 (1968) no. 2, pp. 141-150. http://geodesic.mathdoc.fr/item/MZM_1968_4_2_a3/
@article{MZM_1968_4_2_a3,
author = {F. R. Bobovich and D. K. Faddeev},
title = {Hochschild cohomologies for $Z$-rings with a~power basis},
journal = {Matemati\v{c}eskie zametki},
pages = {141--150},
year = {1968},
volume = {4},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_2_a3/}
}
TY - JOUR
AU - F. R. Bobovich
AU - D. K. Faddeev
TI - Hochschild cohomologies for $Z$-rings with a power basis
JO - Matematičeskie zametki
PY - 1968
SP - 141
EP - 150
VL - 4
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1968_4_2_a3/
LA - ru
ID - MZM_1968_4_2_a3
ER -
%0 Journal Article
%A F. R. Bobovich
%A D. K. Faddeev
%T Hochschild cohomologies for $Z$-rings with a power basis
%J Matematičeskie zametki
%D 1968
%P 141-150
%V 4
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1968_4_2_a3/
%G ru
%F MZM_1968_4_2_a3
Let $\Lambda$ be an associative ring with unity. The main result of the article consists in the proof of the periodicity of the Hochschild cohomologies of $\Lambda$ in the case when $\Lambda$ is a $Z$-ring with a power basis. The period is equal to 2. This result is proved for maximal orders of fields of algebraic numbers.
