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arXiv · 2309.14170

Finite regular semigroups with permutations that map elements to inverses

Peter M. Higgins
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Abstract

We give an account on what is known on the subject of permutation matchings, which are bijections of a finite regular semigroup that map each element to one of its inverses. This includes partial solutions to some open questions, including a related novel combinatorial problem.

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Peter M. Higgins. 2023-09-25. Finite regular semigroups with permutations that map elements to inverses. https://arxiv.org/abs/2309.14170

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