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THE REFLEXIVITY INDEX OF A LATTICE OF SETS

Part of: Boolean algebras (Boolean rings) Distributive lattices Ordered sets Set theory Inequalities

Published online by Cambridge University Press:  25 July 2014

K. J. HARRISON  and
J. A. WARD
K. J. HARRISON*
Affiliation:
Curtin University, Perth, Western Australia email [email protected]
J. A. WARD
Affiliation:
Curtin University, Perth, Western Australia
*
✉[email protected]
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Abstract

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We obtain a formula for the reflexivity index of a finite lattice of sets and of various types of infinite lattices of sets.

Keywords

invariant setreflexive subset latticereflexivity index

MSC classification

Secondary: 06A05: Total order 06D99: None of the above, but in this section 26D99: None of the above, but in this section 03E10: Ordinal and cardinal numbers
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 97 , Issue 2 , October 2014 , pp. 237 - 250
Copyright
Copyright © 2014 Australian Mathematical Publishing Association Inc. 

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