On the structure of the lattice of combinatorial Rees–Sushkevich varieties

Edmond W. H. Lee; Mikhail V. Volkov

doi:10.1142/9789812708700_0012

On the structure of the lattice of combinatorial Rees–Sushkevich varieties

Edmond W. H. Lee, Mikhail V. Volkov

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We present several recent results on the structure of the lattice of combinatorial Rees–Sushkevich varieties. In particular, we study a natural decomposition of the lattice into a disjoint union of intervals and describe the sublattice generated by the extreme points of these intervals.

Original language	American English
Title of host publication	Semigroups and Formal Languages
Subtitle of host publication	Proceedings of the International Conference
Editors	Gracinda M S Gomes , Mario J J Branco , Jorge M Andre, Vitor H Fernandes , John Fountain, John C Meakin
Publisher	World Scientific Publishing Company
Pages	164–187
Number of pages	24
ISBN (Print)	9789812707383
DOIs	https://doi.org/10.1142/9789812708700_0012
State	Published - Jun 2007

Publication series

Name	Semigroups and Formal Languages

Disciplines

Mathematics

Access to Document

10.1142/9789812708700_0012License: Unspecified

Cite this

Lee, E. W. H., & Volkov, M. V. (2007). On the structure of the lattice of combinatorial Rees–Sushkevich varieties. In G. M. S. Gomes , M. J. J. Branco , J. M. Andre, V. H. Fernandes , J. Fountain, & J. C. Meakin (Eds.), Semigroups and Formal Languages: Proceedings of the International Conference (pp. 164–187). (Semigroups and Formal Languages). World Scientific Publishing Company. https://doi.org/10.1142/9789812708700_0012

On the structure of the lattice of combinatorial Rees–Sushkevich varieties. / Lee, Edmond W. H.; Volkov, Mikhail V.
Semigroups and Formal Languages: Proceedings of the International Conference. ed. / Gracinda M S Gomes ; Mario J J Branco ; Jorge M Andre; Vitor H Fernandes ; John Fountain; John C Meakin. World Scientific Publishing Company, 2007. p. 164–187 (Semigroups and Formal Languages).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Lee, EWH & Volkov, MV 2007, On the structure of the lattice of combinatorial Rees–Sushkevich varieties. in GMS Gomes , MJJ Branco , JM Andre, VH Fernandes , J Fountain & JC Meakin (eds), Semigroups and Formal Languages: Proceedings of the International Conference. Semigroups and Formal Languages, World Scientific Publishing Company, pp. 164–187. https://doi.org/10.1142/9789812708700_0012

Lee EWH, Volkov MV. On the structure of the lattice of combinatorial Rees–Sushkevich varieties. In Gomes GMS, Branco MJJ, Andre JM, Fernandes VH, Fountain J, Meakin JC, editors, Semigroups and Formal Languages: Proceedings of the International Conference. World Scientific Publishing Company. 2007. p. 164–187. (Semigroups and Formal Languages). doi: 10.1142/9789812708700_0012

Lee, Edmond W. H. ; Volkov, Mikhail V. / On the structure of the lattice of combinatorial Rees–Sushkevich varieties. Semigroups and Formal Languages: Proceedings of the International Conference. editor / Gracinda M S Gomes ; Mario J J Branco ; Jorge M Andre ; Vitor H Fernandes ; John Fountain ; John C Meakin. World Scientific Publishing Company, 2007. pp. 164–187 (Semigroups and Formal Languages).

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