Flows on regular semigroups

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3 Citations (Scopus)

Abstract

We study the structure of the flow monoid of a regular semigroup. This arises from the approach of Nambooripad of considering a regular semigroup as a groupoid - a category in which every morphism is invertible. A flow is then a section to the source map in this groupoid, and the monoid structure of the set of all flows is determined in terms of the Green relations on the original semigroup.

Original languageEnglish
Pages (from-to)147-155
Number of pages9
JournalApplied Categorical Structures
Volume11
Issue number2
DOIs
Publication statusPublished - Apr 2003

Keywords

  • Flow
  • Groupoid
  • Regular
  • Semigroup

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