Ordered monoids and J-trivial monoids
Henckell, Karsten ; Pin, Jean-Eric
HAL, hal-00112620 / Harvested from HAL
Text on HAL
The aim of this paper is to give a new proof of the following result of Straubing and Thérien (which is also a consequence of a well-known result of I. Simon): Every J-trivial monoid is a quotient of an ordered monoid satisfying the identity x <= 1. We give a proof of this result which provides a direct construction of the covering ordered monoid.
Publié le : 2000-07-05
Classification:  semigroup,  monoid,  ordered semigroup,  J-trivial,  MR 20M10,  [INFO.INFO-OH]Computer Science [cs]/Other [cs.OH],  [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR] 
@article{hal-00112620,
     author = {Henckell, Karsten and Pin, Jean-Eric},
     title = {Ordered monoids and J-trivial monoids},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00112620}
}

Henckell, Karsten; Pin, Jean-Eric. Ordered monoids and J-trivial monoids. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00112620/