The structure of generalized inverse semigroups

Ganna Kudryavtseva, Mark V. Lawson

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Abstract

We prove that the structure of right generalized inverse semigroups is determined by free etale actions of inverse semigroups. This leads to a tensor product interpretation of Yamada's classical structure theorem for generalized inverse semigroups.

Original languageEnglish
Pages (from-to)199-216
Number of pages18
JournalSemigroup Forum
Volume89
Issue number1
DOIs
Publication statusPublished - Aug 2014

Keywords

  • Inverse semigroups
  • Generalized inverse semigroups
  • Presheaves of sets
  • STRONG MORITA EQUIVALENCE
  • REGULAR-SEMIGROUPS
  • STONE DUALITY

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