Planar semilattices and nearlattices with eighty-three subnearlattices

Czédli Gábor: Planar semilattices and nearlattices with eighty-three subnearlattices. In: Acta scientiarum mathematicarum 86. pp. 117-165. (2020)

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Abstract

Finite (upper) nearlattices are essentially the same mathematical entities as finite semilattices, finite commutative idempotent semigroups, finite join-enriched meet semilattices, and chopped lattices. We prove that if an nelement nearlattice has at least 83 · 2 n−8 subnearlattices, then it has a planar Hasse diagram. For n > 8, this result is sharp.

Item Type:	Article
Heading title:	Algebra
Journal or Publication Title:	Acta scientiarum mathematicarum
Date:	2020
Number:	86
ISSN:	2064-8316
Page Range:	pp. 117-165
Language:	English
Publisher:	Bolyai Institute, University of Szeged
Place of Publication:	Szeged
Related URLs:	http://acta.bibl.u-szeged.hu/69543/
DOI:	10.14232/actasm-019-573-4
Uncontrolled Keywords:	Matematika, Algebra
Additional Information:	Bibliogr.: p. 162-165. ; összefoglalás angol nyelven
Subjects:	01. Natural sciences 01. Natural sciences > 01.01. Mathematics
Date Deposited:	2020. Jul. 27. 10:17
Last Modified:	2026. Feb. 18. 14:01
URI:	http://acta.bibl.u-szeged.hu/id/eprint/69366

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