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MINIMAL SEMIGROUPS GENERATING VARIETIES WITH COMPLEX SUBVARIETY LATTICES.

Authors :
LEE, EDMOND W. H.
Source :
International Journal of Algebra & Computation. Dec2007, Vol. 17 Issue 8, p1553-1572. 20p. 7 Diagrams, 1 Chart.
Publication Year :
2007

Abstract

A semigroup is complex if it generates a variety with the property that every finite lattice is embeddable in its subvariety lattice. In this paper, subvariety lattices of varieties generated by small semigroups will be investigated. Specifically, all complex semigroups of minimal order will be identified. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*SEMIGROUP algebras
*ALGEBRA
*MATHEMATICS
*GROUP theory
*LATTICE theory

Details

Language :
English
ISSN :
02181967
Volume :
17
Issue :
8
Database :
Academic Search Index
Journal :
International Journal of Algebra & Computation
Publication Type :
Academic Journal
Accession number :
27943279
Full Text :
https://doi.org/10.1142/S0218196707004189
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