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PRINCIPAL REES QUOTIENTS OF FREE INVERSE SEMIGROUPS

Published online by Cambridge University Press:  31 July 2003

D. EASDOWN  and
L. M. SHNEERSON
D. EASDOWN
Affiliation:
School of Mathematics and Statistics, University of Sydney, Sydney, NSW 2006, Australia e-mail: [email protected]
L. M. SHNEERSON
Affiliation:
Department of Mathematics and Statistics, Hunter College, The City University of New York, 695 Park Avenue, New York, NY 10021, U.S.A. e-mail: [email protected]
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Abstract

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We prove that up to isomorphism $\langle a,b\,\vert\, ab=0\rangle$ is the unique principal Rees quotient of a free inverse semigroup that is not trivial or monogenic with zero, satisfying a nontrivial identity in signature with involution.

Keywords

20M0520M1820M99
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 45 , Issue 2 , May 2003 , pp. 263 - 267
Copyright
2003 Glasgow Mathematical Journal Trust