Copyright © 2008 Elsevier B.V. All rights reserved.
Supermetrics over Apartness Lattice-Ordered Semigroup1
Gabriel Ciobanua,
and Dănuţ Rusub, 
a“A.I. Cuza” University, Faculty of Computer Science, 700506 Iaşi, Romania
b“A.I. Cuza” University, Faculty of Mathematics, 700506 Iaşi, Romania
Available online 20 March 2008.
Abstract
We define the notion of supermetrics over apartness lattice-ordered semigroups, present the relationship between supermetrics and additive functions, and prove several conditions of metric completeness.
Keywords: set-set apartness; lattice-ordered semigroup; metrics; completion
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1Research partially supported by CEEX Grant no.133/2006






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