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An embedding theorem for free inverse semigroups

Published online by Cambridge University Press:  18 May 2009

W. D. Munn
W. D. Munn
Affiliation:
Mathematics Department, University of Glasgow, Glasgow G12 8QW, Scotland
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In this note it is shown that if S is a free inverse semigroup of rank at least two and if e, f are idempotents of S such that e > f then S can be embedded in the partial semigroup eSe/fSf. The proof makes use of Scheiblich's construction for free inverse semigroups [7, 8] and of Reilly's characterisation of a set of free generators in an inverse semigroup [4, 5].

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 22 , Issue 2 , July 1981 , pp. 217 - 222
Copyright
Copyright © Glasgow Mathematical Journal Trust 1981

References

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