Regularity on near permutation semigroups

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A transformation semigroup over a set X with N elements is said to be a near permutation semigroup if it is generated by a group of permutations on N elements and by a set of transformations of rank N - 1. The aim of this paper is to determine computationally efficient conditions to test whether or not a near permutation semigroup is regular.

Original languageEnglish
Pages (from-to)2803-2826
Number of pages24
JournalCommunications in Algebra
Issue number7
Publication statusPublished - 1 Jan 2004


  • Near permutation semigroups
  • Regular semigroups
  • Transformation semigroups


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