UCalgary Peripatetic Seminar: Robin Cockett

  • Date: 11/22/2023
  • Time: 11:00
Robin Cockett, University of Calgary

University of Calgary


A categorical introduction to Drazin inverses


Michael Drazin introduced the idea of a “pseudoinverse” for rings and semigroups in 1961. These inverses categorically are rather special as (like ordinary inverses) they are preserved by all functors when they exist. A category is Drazin when all maps have a Drazin inverse. The aim of the talk is prove that when a category has “expressive” rank it must be Drazin. This provides some examples of Drazin categories … time permitting I will explain how Drazin inverses relate to the Fitting decomposition and the Jordan -Chevalley decomposition.

Other Information: 

Location: ICT 616

Time: 11am Mountain