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EMBEDDING BOOLEAN AMPLE MONOIDS AS FULL SUBMONOIDS OF BOOLEAN INVERSE MONOIDS

2026/04/30 by MARK V. LAWSON, Mark V. Lawson
Computer Science · Mathematics · #Advanced Algebra and Logic #semigroups and automata theory #Rings, Modules, and Algebras

paper · doi:10.1017/s0004972726101634

Abstract

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.

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