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math.RA2017
When the group ring of a finite group over a field is serial
Andrei Kukharev, Gena Puninski
We make a list of finite simple groups whose group rings over a given field are serial.
math.RA2016★ 1 cited
The Ziegler spectrum and Ringel's quilt of the A-infinity plane singularity
Gena Puninski
We describe the Cohen-Macaulay part of the Ziegler spectrum and calculate Ringel's quilt of the category of finitely generated Cohen--Macaulay modules over the A-infinity plane sin…
math.RA2005
Idempotent ideals and non-finitely generated projective modules over integral group rings of polycyclic-by-finite groups
Peter A. Linnell, Gena Puninski, Patrick F. Smith
We prove that every non-finitely generated projective module over the integral group ring of a polycyclic-by-finite group G is free if and only if G is polycyclic.