Lattices embeddable in three-generated lattices

Czédli Gábor: Lattices embeddable in three-generated lattices. In: Acta scientiarum mathematicarum, (82) 3-4. pp. 361-382. (2016)

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Abstract

We prove that every finite lattice L can be embedded in a threegenerated finite lattice K. We also prove that every algebraic lattice with accessible cardinality is a complete sublattice of an appropriate algebraic lattice K such that K is completely generated by three elements. Note that ZFC has a model in which all cardinal numbers are accessible. Our results strengthen P. Crawley and R. A. Dean's 1959 results by adding finiteness, algebraicity, and completeness.

Item Type:	Article
Journal or Publication Title:	Acta scientiarum mathematicarum
Date:	2016
Volume:	82
Number:	3-4
ISBN:	0001-6969
Page Range:	pp. 361-382
Language:	English
Publisher:	Bolyai Institute, University of Szeged
Place of Publication:	Szeged
Official URL:	http://www.acta.hu
Related URLs:	http://acta.bibl.u-szeged.hu/45435/
DOI:	10.14232/actasm-015-586-2
Uncontrolled Keywords:	Rácsok, Schmidt Tamás, Matematika
Additional Information:	Bibliogr.: p. 381-382. ; összefoglalás angol nyelven
Subjects:	01. Natural sciences 01. Natural sciences > 01.01. Mathematics
Date Deposited:	2017. Apr. 06. 15:44
Last Modified:	2026. Feb. 24. 08:10
URI:	http://acta.bibl.u-szeged.hu/id/eprint/46316

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