论文标题
$ k [x_1，x_2，\ ldots，x_d]/（x_1，x_2，\ ldots，x_d）^2 $的环循环同源性
The cyclic homology of $k[x_1,x_2,\ldots,x_d]/(x_1,x_2,\ldots,x_d)^2$
论文作者
论文摘要
环$ k [x_1，x_2，\ ldots，x_d]/（x_1，x_2，x_2，\ ldots，x_d）^2 $的Hochschild同源性已知并计算了几种方式。本文使用这些计算来计算$ k [x_1，x_2，\ ldots，x_d]/（x_1，x_2，x_2，\ ldots，x_d），x_d）^2 $ yo $ k $ over $ k $的循环，负环和周期性循环同源性。
The Hochschild homology of the ring $k[x_1,x_2,\ldots,x_d]/(x_1,x_2,\ldots,x_d)^2$ has been known and calculated several ways. This paper uses those calculations to calculate cyclic, negative cyclic, and periodic cyclic homology of $k[x_1,x_2,\ldots,x_d]/(x_1,x_2,\ldots,x_d)^2$ over $k$.
