The center of a group consists of all elements which commute with everything. Alternatively, the center of a group is the kernel of the homomorphism that assigns to every element its associated inner automorphism. Which of these descriptions admits a natural generalization? Or is there a more systematic approach?
I will explain an abstract framework of universal algebra that provides a general definition of the center (and much more). I will show how this general approach adapts in concrete classes, such as loops, quandles, and most importantly with respect to the subject of the seminar, inverse semigroups.
Date and Venue
Online Zoom meeting
Charles University, (Prague, Czech Republic)
David Stanovský-21April2023.pdf403.51 KB
Semigroups, Automata and Languages