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Minimal semigroups generating varieties with complex subvariety lattices

Research output: Contribution to journalArticlepeer-review

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.

Original languageAmerican English
Pages (from-to)1553–1572
JournalInternational Journal of Algebra and Computation
Volume17
Issue number8
DOIs
StatePublished - Dec 1 2007

Keywords

  • Semigroup
  • Variety
  • Subvariety lattice
  • Complex variety
  • Complex lattice

Disciplines

  • Mathematics

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