Computing congruences of finite inverse semigroups

June 13, 2024 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Luna Elliott, Alex Levine, James D. Mitchell arXiv ID 2406.09281 Category math.GR Cross-listed cs.DS Citations 1 Venue arXiv.org Last Checked 3 months ago
Abstract
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 the theories of groups, automata, and inverse semigroups. An initial implementation of this algorithm outperforms existing implementations by several orders of magnitude.
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