On semigroups whose idempotent-generated subsemigroup is aperiodic

Manuel Delgado, Vítor H. Fernandes, Stuart Margolis, Benjamin Steinberg

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

We show that if S is a finite semigroup with aperiodic idempotent-generated subsemigroup and H is a pseudovariety of groups, then the sequence of iterated H-kernels of S stops at the idempotent-generated subsemigroup if and only if each subgroup of S belongs to the wreath product closure of H. Applications are given to Mal'cev products.

Original languageEnglish
Pages (from-to)655-665
Number of pages11
JournalInternational Journal of Algebra and Computation
Volume14
Issue number5-6
DOIs
StatePublished - 2004

Keywords

  • Iterated kernels
  • Mal'cev products
  • Wreath product closure

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