Cohomologies of maximal order of simple central algebras
Matematičeskie zametki, Tome 6 (1969) no. 2, pp. 225-231.

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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.
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F. R. Bobovich. Cohomologies of maximal order of simple central algebras. Matematičeskie zametki, Tome 6 (1969) no. 2, pp. 225-231. http://geodesic.mathdoc.fr/item/MZM_1969_6_2_a10/