# A hodge-type decomposition for commutative algebra cohomology

@article{Gerstenhaber1987AHD, title={A hodge-type decomposition for commutative algebra cohomology}, author={Murray Gerstenhaber and Samuel D. Schack}, journal={Journal of Pure and Applied Algebra}, year={1987}, volume={48}, pages={229-247} }

## 185 Citations

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The cyclic homology of affine algebras

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In this paper, we study the cyclic homology of affine algebras over a field of characteristic 0. We show that ifA is such an algebra the inverse system (HC*+2m(A),S)m decomposes in sufficiently large…

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In the development of cohomology theories for K-algebras (where K is a commutative ring), the polynomial rings K[x 1 ,. .. , x k ] have played an important role: not only as examples whose Hochschild…

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This paper defines a cohomology theory of root systems which emerges
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