Ordered categories and ordered semigroups - Archive ouverte HAL
Journal Articles Communications in Algebra Year : 2002

Ordered categories and ordered semigroups

Abstract

We use ordered categories to study semidirect decompositions of finite ordered semigroups. We obtain ordered analogues of the derived semigroupoid theorem and of the delay theorem. Next we prove that the ordered analogues of semilattices and of J-trivial monoids constitute local varieties, and we derive some decomposition theorems from these results.
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Dates and versions

hal-00112616 , version 1 (09-11-2006)

Identifiers

  • HAL Id : hal-00112616 , version 1

Cite

Jean-Eric Pin, Arnaud Pinguet, Pascal Weil. Ordered categories and ordered semigroups. Communications in Algebra, 2002, 30, pp.5651-5675. ⟨hal-00112616⟩
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