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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