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PERIODIC FLAT MODULES, AND FLAT MODULES FOR FINITE GROUPS D. J. BENSON AND K. R. GOODEARL
 

Summary: 



PERIODIC FLAT MODULES, AND FLAT MODULES FOR FINITE GROUPS



D. J. BENSON AND K. R. GOODEARL



Abstract.The main theorem says that if R is a ring of coefficients and G *
*a finite group, then a
flat RG-module M which is projective as an R-module is necessarily projec*
*tive as an RG-module.
This is proved using the following theorem about flat modules over an arb*
*itrary ring R. If a flat
R-module M sits in a short exact sequence 0 ! M ! P ! M ! 0 with P projec*
*tive, then M is

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics