Equational Theories of Scattered and Countable Series-Parallel Posets

In this paper we consider two classes of posets labeled over an alphabet A. The class [Formula: see text] is built from the letters and closed under the operations of series finite, [Formula: see text] and [Formula: see text] products, and finite parallel product. In the class [Formula: see text], [...

Descripción completa

Detalles Bibliográficos
Autores principales: Amazigh, Amrane, Bedon, Nicolas
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7247904/
http://dx.doi.org/10.1007/978-3-030-48516-0_1
Descripción
Sumario:In this paper we consider two classes of posets labeled over an alphabet A. The class [Formula: see text] is built from the letters and closed under the operations of series finite, [Formula: see text] and [Formula: see text] products, and finite parallel product. In the class [Formula: see text], [Formula: see text] and [Formula: see text] products are replaced by [Formula: see text] and [Formula: see text] powers. We prove that [Formula: see text] and [Formula: see text] are freely generated in their respective natural varieties of algebras [Formula: see text] and [Formula: see text], and that the equational theory of [Formula: see text] is decidable.

Ejemplares similares