2 citations · 2 across the 2 of their papers we have counts for
2 papers
math.RA2017★ 2 cited
A note on simple modules over quasi-local rings
Paula A. A. B. Carvalho, Christian Lomp, Patrick F. Smith
Matlis showed that the injective hull of a simple module over a commutative Noetherian ring is Artinian. Many non-commutative Noetherian rings whose injective hulls of simple modul…
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.