Almost factorisable straight locally inverse semigroups

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Abstract

We introduce the notion of a factorisable and an almost factorisable straight locally inverse semigroup, and prove that every straight locally inverse semigroup can be obtained as a subsemigroup of an idempotent separating homomorphic image of a Pastijn product of a semilattice by a completely simple semigroup. Moreover, we give an alternative proof of the fact that each straight locally inverse semigroup has a weakly E-unitary cover, implicitely due to Pastijn.
Original languageEnglish
Pages (from-to)569-589
Number of pages21
JournalActa Scientiarum Mathematicarum
Volume69
Issue number3
Publication statusPublished - 2003

Keywords

  • factorisable
  • locally inverse semigroups

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