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math.GR2025
A note on intrinsic topologies of groups
S. Bardyla, L. Elliott, J. D. Mitchell +1
We investigate topologies on groups which arise naturally from their algebraic structure, including the Frechét-Markov, Hausdorff-Markov, and various kinds of Zariski topologies. A…
math.GR2024
Computing congruences of finite inverse semigroups
Luna Elliott, Alex Levine, James D. Mitchell
In this paper we present a novel algorithm for computing a congruence on an inverse semigroup from a collection of generating pairs. This algorithm uses a myriad of techniques from…
math.GR2024
E-disjunctive inverse semigroups
Luna Elliott, Alex Levine, James Mitchell
In this paper we provide an overview of the class of inverse semigroups such that every congruence on relates at least one idempotent to a non-idempotent; such inverse semi…