Skew derivations of incidence algebras

• Fornaroli, Érica Z. ^[1] ; Khrypchenko, Mykola ^[2]
  1. [1] Universidade Estadual de Maringá

     Universidade Estadual de Maringá

     Brasil

     
  2. [2] Universidade Federal de Santa Catarina

     Universidade Federal de Santa Catarina

     Brasil

     
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 76, Fasc. 1, 2025, págs. 113-132
• Idioma: inglés
• DOI: 10.1007/s13348-023-00423-7
• Texto completo no disponible (Saber más ...)
• Resumen

  • In the first part of the paper we describe \varphi-derivations of the incidence algebra I(X, K) of a locally finite poset X over a field K, where \varphi is an arbitrary automorphism of I(X, K). We show that they admit decompositions similar to that of usual derivations of I(X, K). In particular, the quotient of the space of \varphi-derivations of I(X, K) by the subspace of inner \varphi-derivations of I(X, K) is isomorphic to the first group of certain cohomology of X, which is developed in the second part of the paper.

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