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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Free inverse semigroups


Author: H. E. Scheiblich
Journal: Proc. Amer. Math. Soc. 38 (1973), 1-7
DOI: https://doi.org/10.1090/S0002-9939-1973-0310093-1
MathSciNet review: 0310093
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Abstract: At least three authors have offered proofs of the existence of a free inverse semigroup, but without describing its structure. This paper shows that if $ X$ is a nonempty set, $ G$ is the group on $ X$, and $ E$ is a certain subsemilattice of the power set of $ G$, then a certain collection of principal ideal isomorphisms of $ E$ is a free inverse semigroup on $ X$.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1973-0310093-1
Keywords: Free inverse semigroup
Article copyright: © Copyright 1973 American Mathematical Society