Friday, July 21, 15:15, 7.527

Paula Carvalho (Porto), Simple modules and their essential extensions for skew polynomial rings.

Abstract:
A Noetherian ring S whose simple modules have the property that their finitely generated essential extensions are Artinian is said to satisfy property ◇. For commutative Noetherian rings the validity of ◇ is due to Matlis (1958). In this talk we will discuss ◇ for skew polynomial rings S=R [ θ ; α ] where R is a commutative Noetherian ring and α is an automorphism of R. A complete characterization is found when R is an affine algebra over a field K and α is a K-automorphism.
This is joint work with Ken Brown and Jerzy Matczuk