# Tail and free poset algebras.

Revista Matemática Complutense (2004)

- Volume: 17, Issue: 1, page 169-179
- ISSN: 1139-1138

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topBekkali, Mohamed, and Zhani, Driss. "Tail and free poset algebras.." Revista Matemática Complutense 17.1 (2004): 169-179. <http://eudml.org/doc/44446>.

@article{Bekkali2004,

abstract = {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).},

author = {Bekkali, Mohamed, Zhani, Driss},

journal = {Revista Matemática Complutense},

keywords = {Algebras de Boole; Orden parcial; Retículos; Semigrupos},

language = {eng},

number = {1},

pages = {169-179},

title = {Tail and free poset algebras.},

url = {http://eudml.org/doc/44446},

volume = {17},

year = {2004},

}

TY - JOUR

AU - Bekkali, Mohamed

AU - Zhani, Driss

TI - Tail and free poset algebras.

JO - Revista Matemática Complutense

PY - 2004

VL - 17

IS - 1

SP - 169

EP - 179

AB - 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).

LA - eng

KW - Algebras de Boole; Orden parcial; Retículos; Semigrupos

UR - http://eudml.org/doc/44446

ER -

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