Abstract
The purpose of this note is to give a characterization of a free inverse semigroup on a singleton set. It will be shown that if B is the bicyclic semigroup, then a certain inverse subsemigroup F of B × B is a free elementary inverse semigroup.
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References
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Scheiblich, H.E. A characterization of a free elementary inverse semigroup. Semigroup Forum 2, 76–79 (1971). https://doi.org/10.1007/BF02572275
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DOI: https://doi.org/10.1007/BF02572275