Friday, July 21, 15:15, 7.527
Paula Carvalho (Porto), Simple modules and their essential extensions for
skew polynomial rings.
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