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In Search of a Pappian Lattice Identity

Published online by Cambridge University Press:  20 November 2018

Alan Day
Alan Day*
Affiliation:
Lakehead University Thunder Bay, Ontario Canada P7B 5E1
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In [8] and subsequent papers, Jônsson (et al) developed a lattice identity which reflects precisely Desargues Law in projective geometry in that a projective geometry satisfies Desargues Law if and only if the geometry, qua lattice, satisfies this identity. This identity, appropriately called the Arguesian law, has become exceedingly important in recent investigations in the variety of modular lattices (see for example [2], [3], [9], and [12]). In this note, we supply two possible lattice identities for the Pappus' Law of projective geometry.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 24 , Issue 2 , 01 June 1981 , pp. 187 - 198
Copyright
Copyright © Canadian Mathematical Society 1981

References

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