Tuesday, June 6, 15:15, 7.527

Paula Carvalho (Porto), Critical modules over some skew polynomial rings.

Abstract:
Let R be a commutative local k-algebra of Krull dimension one, where k is a field. Let α be a k-algebra automorphism of R, and define S to be the skew polynomial algebra R[θ; α]. We classify all cyclic (Krull) 1-critical S-modules. We use this classification and some elementary homological algebra to deduce when essencial extensions of simple are locally artinian.
This talk is based on a joint work with Ken Brown and Jerzy Matczuk, accepted for publication in JPAA, arxiv: 2206.10872