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Partially Ordered Abelian Groupoids

  • M. A. Pervukhin,
  • A. A. Stepanova,
  • N. V. Trikashnaya

摘要

We introduce the notion of a partially ordered abelian algebra which is a naturalgeneralization of the notion of an abelian algebra. We describe partiallyordered abelian groupoids with identity, finite quasigroups, regular semigroups, semisimplesemigroups, and semigroups with minimal left and right ideals.