Topological Hochschild homology of extensions of Z/pZ by polynomials

Topological Hochschild homology is calculated for the rings Z/pZ[x]/(f(x)) (where p is prime and f(x) ∈ Z/pZ[x] any polynomial), Z[x]/(xn) and Z[x]/(xn − 1). A spectral sequence argument is used for calculating the homology of the topological Hochschild homology spectrum, from which its stable homotopy structure can be read off since the spectrum is known for a priori reasons to be a restricted product of Eilenberg-MacLane spectra. Key Words: Topological Hochschild homology, Hochschild homology