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  • 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.
Subject
  • Geometric group theory
  • Social Democratic Party of Switzerland
  • Pro-European political parties
  • 1888 establishments in Switzerland
  • Full member parties of the Socialist International
  • Members of the Labour and Socialist International
  • Non-interventionist parties
  • Political parties established in 1888
  • Progressive Alliance
  • Social democratic parties
  • Socialist parties in Switzerland
  • Swiss Climate Alliance
  • Parties related to the Party of European Socialists
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