On Hartwig–Nambooripad orders

Alexander Guterman, Xavier Mary, Pavel Shteyner

Research output: Contribution to journalArticlepeer-review


We obtain several equivalent characterizations for the Hartwig–Nambooripad order based on outer inverses. We also introduce new partial orders on arbitrary semigroups extending these regular semigroup orders. On epigroups these new partial orders admit characterizations in terms of outer inverses.

Original languageEnglish
Pages (from-to)64-74
Number of pages11
JournalSemigroup Forum
Issue number1
StatePublished - 15 Feb 2019
Externally publishedYes


  • Generalized inverses
  • Hartwig–Nambooripad order
  • Ordered semigroups

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


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