On recognizable subsets of free partially commutative monoids. (English) Zbl 0658.20031

Author’s abstract: “We show that, in a free partially abelian monoid generated by a finite alphabet A, the subset [X] of \(A^*\) containing all the words equivalent to a word of X is recognizable if X is recognizable and if any iterative factor h has a connected noncommutation graph.”
Reviewer: I.Peák


20M05 Free semigroups, generators and relations, word problems
20M35 Semigroups in automata theory, linguistics, etc.
Full Text: DOI


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