Embedding Boolean ample monoids as full submonoids of Boolean inverse monoids

Mark V. Lawson

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arXiv · 2604.07152

Embedding Boolean ample monoids as full submonoids of Boolean inverse monoids

Mark V. Lawson

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Abstract

We show that, in certain circumstances, a Boolean ample monoid may be fully embedded into a Boolean inverse monoid in a way that generalizes how right reversible cancellative monoids may be embedded into groups. We use groupoids of fractions and non-commutative Stone duality to prove the result.

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Mark V. Lawson. 2026-04-08. Embedding Boolean ample monoids as full submonoids of Boolean inverse monoids. https://arxiv.org/abs/2604.07152

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