NDLI: Semilattice Operations Generated by Lattice Terms

Content Provider	Springer Nature Link
Author	Padmanabhan, R. Penner, P.
Copyright Year	2005
Abstract	Let ℒ=〈L;∨,∧〉 be a subdirectly irreducible modular lattice, c∈L and p(x,y,z) an essentially ternary lattice term. In this paper we show that if p(x,y,c) is a semilattice operation then p(x,y,c)=∨ or ∧ and L is bounded and c=0 or c=1. This sheds light on the methodology used to move back and forth between generalizations of median algebras and lattices, and provides a negative answer to a problem posed by A. Knoebel and G. Meletiou.
Starting Page	257
Ending Page	263
Page Count	7
File Format	PDF
ISSN	01678094
Journal	Order
Volume Number	21
Issue Number	3
e-ISSN	15729273
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2005-09-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	semilattice lattice quasilattice compatible orders subdirectly irreducible distributive multisemilattice modular lattice pseudomedian algebras Theory of Computation Geometry Convex and Discrete Geometry
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory Computational Theory and Mathematics Geometry and Topology

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Semilattice Operations Generated by Lattice Terms