Oleg Gutik: Around the bicyclic monoid: topological and semigroup views

Wednesday, April 1, 2015, 17:15
Wrocław University of Technology, 215 D-1

Speaker: Oleg Gutik (National University of Lviv)

Title: Around the bicyclic monoid: topological and semigroup views

Abstract:

We discuss algebraic and topological properties of (semitopological and topological) semigroups which are close to the bicyclic monoid: the semigroup of matrix units, the semigroup of co-finite partial bijections and the polycyclic monoid. We speak about topologizations of such semigroups as topological or semitopological semigroups, their embeddings into compact-like topological semigroups and their closures in topological semigroups.

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