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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.
DOI: 10.14232/actasm-019-230-9
AMS Subject Classification
(1991): 06C10, 06A07
Keyword(s):
planar lattice,
Zilber's Theorem
received 30.7.2019, revised 22.1.2020, accepted 29.1.2020. (Registered under 730/2019.)
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