Cyclic polytopes and the

摘要

This paper calculates the relative algebraic K-theory K* (k[x]/(xn), (x)) of a truncated polynomial algebra over a perfect field k of positive characteristic p, Since the ideal generated by x is nilpotent, we can apply McCarthy's theorem: the relative algebraic K=theory is isomorphic to the relative topological cyclic homology, [Mc], and it is the latter groups we actually evaluate.