VIC-modules over noncommutative rings

• Andrew Putman ^[1] ; Steven V Sam ^[2]
  1. [1] University of Notre Dame

     University of Notre Dame

     Township of Portage, Estados Unidos

     
  2. [2] University of California System

     University of California System

     Estados Unidos

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 28, Nº. 5, 2022
• Idioma: inglés
• Enlaces
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• Resumen

  • For a finite ring R, not necessarily commutative, we prove that the category of VIC(R)- modules over a left Noetherian ring 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 GLn(R) with R a finite noncommutative ring.