Locality and Centrality: The Variety ZG

15 Feb 2021 Antoine Amarilli Charles Paperman

We study the variety ZG of monoids where the elements that belong to a group are central, i.e., commute with all other elements. We show that ZG is local, that is, the semidirect product ZG*D of ZG by definite semigroups is equal to LZG, the variety of semigroups where all local monoids are in ZG... (read more)

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  • FORMAL LANGUAGES AND AUTOMATA THEORY