Explicit Chain Homotopic Function to Compute Hochschild Homology of the Polynomial Algebra

In this paper, an explicit homotopic function is
constructed to compute the Hochschild homology of a finite
dimensional free k-module V. Because the polynomial algebra is of
course fundamental in the computation of the Hochschild homology
HH and the cyclic homology CH of commutative algebras, we
concentrate our work to compute HH of the polynomial algebra, by
providing certain homotopic function.

• Z. Altawallbeh

• Exterior algebra
• free resolution
• free and projective modules
• Hochschild homology
• homotopic function
• symmetric algebra.

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