Listar Investigación y Desarrollo por autor "Arcis, Diego"

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    • Article

      Hopf algebras on planar trees and permutations (2021) 

      Arcis, Diego; Márquez, Sebastián (World Scientific, 2021)
      We endow the space of rooted planar trees with the structure of a Hopf algebra. We prove that variations of such a structure lead to Hopf algebras on the spaces of labeled trees, n-Trees, increasing planar trees and sorted ...
    • Article

      Tied monoids (2021) 

      Arcis, Diego; Juyumaya, Jesus (Springer, 2021)
      We construct certain monoids, called tied monoids. These monoids result to be semidirect products finitely presented and commonly built from braid groups and their relatives acting on monoids of set partitions. The nature ...