Tail and free poset algebras.

  • Mohamed Bekkali
  • Driss Zhani
Palabras clave: Free poset algebra, tail algebra, semigroup algebra

Resumen

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 semilattice algebras that are isomorphic to free poset algebras is given in terms of a selected set of generators of B(T).

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Publicado
2004-06-04
Cómo citar
Bekkali, M., & Zhani, D. (2004). Tail and free poset algebras. Revista Matemática Complutense, 17(1), 169 - 179. https://doi.org/10.5209/rev_REMA.2004.v17.n1.16795
Sección
Artículos