Abstract
The following proposition is proved below: Hochschild cohomologies of maximal order of a simple central algebra over the field of algebraic numbers are periodic with period 2.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
F. R. Bobovich and D. K. Faddeev, “Hochschild cohomologies for Z-rings with a power basis,” Matem. Zametki,4, No. 2, 141–150 (1968).
H. Cartan and S. Eilenberg, Homological Algebra, Princeton University Press, Princeton, N. J. (1956).
H. Hasse, “Über p-adische Schiefkörper und ihre Bedeutung für die Arithmetik hyperkomplexer Zahlsysteme,” Math. Ann.,104, No. 4, 495–534 (1931).
M. Deuring, “Galoissche Theorie und Darstellungstheorie,” Math. Ann.,107, No. 1, 104–144 (1932).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 6, No. 2, pp. 225–231, August, 1969.
The author expresses his deep gratitude to D. K. Faddeev for his scientific guidance and assistance.
Rights and permissions
About this article
Cite this article
Bobovich, F.R. Cohomologies of maximal order of simple central algebras. Mathematical Notes of the Academy of Sciences of the USSR 6, 589–592 (1969). https://doi.org/10.1007/BF01093704
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01093704