关于整数上截断多项式代数的K-理论
On the K-theory of truncated polynomial algebras over the integers
摘要：
证明了K_{2i}（Z[x]/（x^m），（x））是（mi）阶有限的！（i！）^ {m-2}并且K_{2i+1}（Z[x]/（x^m），（x））是秩为m-1的自由阿贝尔。这是通过证明拓扑Hochschild谱THH（Z）的等变同伦群在奇数度上是有限的，在偶数度上是自由阿贝尔群，并分别计算它们的阶和秩来实现的。
英文摘要：
We show that the K_{2i}(Z[x]/(x^m),(x)) is finite of order (mi)!(i!)^{m-2} and that K_{2i+1}(Z[x]/(x^m),(x)) is free abelian of rank m-1. This is accomplished by showing that the equivariant homotopy groups of the topological Hochschild spectrum THH(Z) are finite, in odd degrees, and free abelian, in even degrees, and by evaluating their orders and ranks, respectively.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
