论文标题
非交换环上的VIC模型
VIC-modules over noncommutative rings
论文作者
论文摘要
对于有限的环$ r $，不一定是交换性的，我们证明了$ \ text {vic}（r）$ - 在左noetherian ring $ \ mathbf {k} $上的模块是本地noetherian，概括了作者的定理。作为一个应用程序，我们证明了$ \ text {gl} _n（r）$的非常通用的扭曲同源稳定性，$ r $ a有限的非交换戒指。
For a finite ring $R$, not necessarily commutative, we prove that the category of $\text{VIC}(R)$-modules over a left Noetherian ring $\mathbf{k}$ is locally Noetherian, generalizing a theorem of the authors that dealt with commutative $R$. As an application, we prove a very general twisted homology stability for $\text{GL}_n(R)$ with $R$ a finite noncommutative ring.
