Ordered categories and ordered semigroups
Pin, Jean-Eric ; Pinguet, Arnaud ; Weil, Pascal
HAL, hal-00112616 / Harvested from HAL
Text on HAL
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.
Publié le : 2002-07-05
Classification:  Semigroup,  Category,  ordered semigroup,  MR 06F05 (18B40 20M99),  [INFO.INFO-OH]Computer Science [cs]/Other [cs.OH],  [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR] 
@article{hal-00112616,
     author = {Pin, Jean-Eric and Pinguet, Arnaud and Weil, Pascal},
     title = {Ordered categories and ordered semigroups},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00112616}
}

Pin, Jean-Eric; Pinguet, Arnaud; Weil, Pascal. Ordered categories and ordered semigroups. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00112616/