This article is cited in 3 papers

Hochschild cohomologies for $Z$-rings with a power basis

F. R. Bobovich, D. K. Faddeev

Leningrad Department of V. A. Steklov Institute of Mathematics, USSR Academy of Sciences

Abstract: 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.

UDC: 512.4

Received: 05.03.1968

 English version: Mathematical Notes, 1968, 4:2, 575–581

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