Tail and free poset algebras.
Bekkali, Mohamed ; Zhani, Driss
Revista Matemática de la Universidad Complutense de Madrid, Tome 17 (2004), p. 169-179 / Harvested from Biblioteca Digital de Matemáticas
Access to full text

We characterize free poset algebras F(P) over partially ordered sets and show that they can be represented by upper semi-lattice algebras. Hence, the uniqueness, in decomposition into normal form, using symmetric difference, of non-zero elements of F(P) is established. Moreover, a characterization of upper semi-lattice algebras that are isomorphic to free poset algebras is given in terms of a selected set of generators of B(T).

Publié le : 2004-01-01
DMLE-ID : 904 
@article{urn:eudml:doc:44446,
     title = {Tail and free poset algebras.},
     journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
     volume = {17},
     year = {2004},
     pages = {169-179},
     zbl = {1050.06004},
     mrnumber = {MR2063947},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44446}
}

Bekkali, Mohamed; Zhani, Driss. Tail and free poset algebras.. Revista Matemática de la Universidad Complutense de Madrid, Tome 17 (2004) pp. 169-179. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44446/