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arXiv · 2005.07246

VIC-modules over noncommutative rings

Andrew Putman·Steven V Sam
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Abstract

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.

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BibTeXRIS

Andrew Putman, Steven V Sam. 2020-05-14. VIC-modules over noncommutative rings. https://doi.org/10.1007/s00029-022-00799-7

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