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Semidistributive inverse semigroups

Part of: Algebraic structures Semigroups

Published online by Cambridge University Press:  09 April 2009

Katherine G. Johnston-Thom  and
Peter R. Jones
Katherine G. Johnston-Thom
Affiliation:
Department of Mathematics University of Charleston, South Carolina Charleston South Carolina 29424USA e-mail: [email protected]
Peter R. Jones
Affiliation:
Department of Mathematics, Statistics and Computer Science Marquette UniversityMilwaukee Wisconsin 53233USA e-mail: [email protected]
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Abstract

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An inverse semigroup S is said to be meet (join) semidistributive if its lattice (S) of full inverse subsemigroups is meet (join) semidistributive. We show that every meet (join) semidistributive inverse semigroup is in fact distributive.

MSC classification

Secondary: 20M18: Inverse semigroups 08A30: Subalgebras, congruence relations
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 71 , Issue 1 , August 2001 , pp. 37 - 51
Copyright
Copyright © Australian Mathematical Society 2001

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