EMBEDDING BOOLEAN AMPLE MONOIDS AS FULL SUBMONOIDS OF BOOLEAN INVERSE MONOIDS
Abstract We show that, in certain circumstances, a Boolean ample monoid may be fully embedded into a Boolean inverse monoid in a way that generalises how right reversible cancellative monoids may be embedded into groups. We use groupoids of fractions and noncommutative Stone duality to prove the result.
Authors
- Mark V. Lawson (ORCID: https://orcid.org/0000-0001-8868-6796)
Institutions
- Maxwell Institute for Mathematical Sciences (GB)
Publication Details
- Journal
- Bulletin of the Australian Mathematical Society
- Published
- 2026-07-22
- DOI
- https://doi.org/10.1017/s0004972726101634
- Primary Topic
- Advanced Algebra and Logic
- Type
- article
- Field-Weighted Citation Impact
- 0.00