Marcos Mazari Armida : Characterizing some classical rings via superstability.

Posted by Tom Benhamou , part of the Logic Seminar.

At

March 14, 2023, 4 p.m.

In

636 SEO

Abstract

The classical model-theoretic notion of superstability was introduced by Shelah in the late sixties for first-order theories and in the late nineties for abstract elementary classes. In this talk we will show that superstability is a natural algebraic property by characterizing some classical classes of rings, such as noetherian rings and perfect rings, via superstability of certain classes of modules.