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math.GN2017
On locally compact shift-continuous topologies on the -bicyclic monoid
Serhii Bardyla
A topology on a monoid is called {\em shift-continuous} if for every the two-sided shift , , is continuous. For every ordinal , we…
math.GN2017
On locally compact topological graph inverse semigroups
Serhii Bardyla
In this paper we characterise graph inverse semigroups which admit only discrete locally compact semigroup topology. This characterization provides a complete answer on the questio…