On ∗-reverse derivable maps

• Ferreira, Bruno L. M. ^[1] ; Sandhu, Gurninder ^[2]
  1. [1] Universidade Tecnológica Federal do Paraná

     Universidade Tecnológica Federal do Paraná

     Brasil

     
  2. [2] Patel Memorial National College.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 42, Nº. 6, 2023, págs. 1615-1626
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-5905
• Enlaces
  • Texto completo
• Resumen

  • Let R be a ring with involution containing a nontrivial symmetric idempotent element e. Let δ : R → R be a mapping such that δ(ab) = δ(b)a∗ + b∗δ(a) for all a, b ∈ R, we call δ a ∗−reverse derivable map on R. In this paper, our aim is to show that under some suitable restrictions imposed on R, every ∗−reverse derivable map of R is additive.

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