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Published in 2019 at "Semigroup Forum"
DOI: 10.1007/s00233-019-10015-2
Abstract: An inverse semigroup is finite if and only if it is finitely-generated, its singletons are recognizable, and the family of its recognizable subsets is closed under complex product. In particular, inverse Kleene semigroups are finite.
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Keywords:
criterion inverse;
inverse;
inverse semigroups;
finiteness criterion ... See more keywords
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Published in 2018 at "Communications in Algebra"
DOI: 10.1080/00927872.2016.1278007
Abstract: ABSTRACT As a generalization of left inverse semigroups in the class of regular semigroups, we consider a class of semigroups which we name -inverse semigroups. After introducing the notion of left circle product for semigroups,…
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Keywords:
inverse semigroups;
semigroups structure;
structure inverse;
structure ... See more keywords