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arXiv · 0911.0524

The conjugacy problem in semigroups and monoids

Fabienne Chouraqui
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Abstract

We present an algorithmic approach to the conjugacy problems in monoids and semigroups, using rewriting systems. There is a class of monoids and semigroups that satisfy the condition that the transposi- tion problem and the left and right conjugacy problem are equivalent. The free monoid and the completely simple semigroups belong to this class. We give a solution to the conjugacy problem for monoids and semigroups in this class that are presented by a complete rewriting system that satisfies some additional conditions.

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Fabienne Chouraqui. 2009-11-03. The conjugacy problem in semigroups and monoids. https://arxiv.org/abs/0911.0524

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