Hochschild cohomology of the integral group ring of a cyclic group and related algebras

摘要

1. Introduction. The multiplicative structure of the Hochschild cohomology of an algebra is not known in general and is difficult Lo calculate, even in examples. In [4] we determined the structure of the Hochschild cohomology for commutative modular group algebras over a field. With a different and more direct method this was recently generali-zed by Cibils and Solotar to commutative group algebras over arbitrary commutative rings k, showing that there exists an algebra isomorphism HH*(kG) E kG kH(G,k) for any finite abelian group G [2].