Zilber’s Theorem for planar lattices, revisited

Baker Kirby A. and Grätzer George A.: Zilber’s Theorem for planar lattices, revisited. In: Acta scientiarum mathematicarum 86. pp. 81-104. (2020)

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Abstract

Zilber’s Theorem states that a finite lattice L is planar if and only if it has a complementary order relation. We provide a new proof for this crucial result and discuss some applications, including a canonical form for finite planar lattices and an analysis of coverings in the left-right order.

Item Type: Article
Heading title: Algebra
Journal or Publication Title: Acta scientiarum mathematicarum
Date: 2020
Number: 86
ISSN: 2064-8316
Page Range: pp. 81-104
Related URLs: http://acta.bibl.u-szeged.hu/69543/
DOI: 10.14232/actasm-019-230-9
Uncontrolled Keywords: Matematika, Algebra
Additional Information: Bibliogr.: p. 102-104. ; összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.01. Mathematics
Date Deposited: 2020. Jul. 27. 10:04
Last Modified: 2020. Jul. 27. 10:04
URI: http://acta.bibl.u-szeged.hu/id/eprint/69364

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