Algebra Seminar: Bicyclic extensions of semigroups and their endomorphisms
- Date: 6 May 2025, 13:15–14:55
- Location: Ångström Laboratory, 64119 + Zoom
- Type: Seminar
- Lecturer: Olha Popadiuk (Lviv University)
- Organiser: Matematiska institutione
- Contact person: Volodymyr Mazorchuk
Olha Popadiuk (Lviv University) gives this seminar. Welcome!
Abstract: We study a bicyclic extension over an ω-closed family of subsets of the set of non-negative integers ω in the case when this family is generated by the initial finite interval [0,n]. In particular, the Green relations are described, and it is shown that this bicyclic extension is isomorphic to the inverse semigroup of convex order isomorphisms of (ω,⩽) of the rank ⩽ n. Moreover, will present the structure of endomorphisms of this bicyclic semigroup extension.
Join on site or via Zoom link (Meeting ID: 645 5572 6999, please contact the organizer for passcode)
This is a seminar in our algebra seminar series.