Limit varieties generated by completely 0-simple semigroups

Research output: Contribution to journalArticlepeer-review

Abstract

A limit variety is a variety that is minimal with respect to being nonfinitely based. This paper presents a new infinite series of limit semigroup varieties, each of which is generated by a finite 0-simple semigroup with Abelian subgroups. These varieties exhaust all limit varieties generated by completely 0-simple semigroups with Abelian subgroups.

Original languageAmerican English
Pages (from-to) 257–294
JournalInternational Journal of Algebra and Computation
Volume21
Issue number1–2
DOIs
StatePublished - Feb 1 2011
Externally publishedYes

Keywords

  • Semigroup
  • Completely 0-simple semigroup
  • Variety
  • Finitely based variety
  • Limit variety

Disciplines

  • Mathematics

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