Let R be a ring. A biadditive symmetric mapping D : R × R −→ R is called a symmetric skew biderivation if for every x ∈ R, the map y → D(x, y) is a skew derivation of R (as well as for every y ∈ R, the map x → D(x, y) is a skew derivation of R). Let D : R×R −→ R be a symmetric biderivation. A biadditive symmetric mapping ∆ : R × R −→ R is said to be a symmetric generalized skew biderivation if for every x ∈ R, the map y → ∆(x,y) is a generalized skew derivation of R associated with D (as well as for every y ∈ R, the map x → ∆(x, y) is a generalized skew derivation of R associated with D). In this paper we study some commutativity conditions for a prime ring R related to the behaviour of the trace of symmetric generalized skew biderivations of R.

Some results concerning symmetric generalized skew biderivations on prime rings

CARINI, Luisa;DE FILIPPIS, Vincenzo;SCUDO, GIOVANNI
2016-01-01

Abstract

Let R be a ring. A biadditive symmetric mapping D : R × R −→ R is called a symmetric skew biderivation if for every x ∈ R, the map y → D(x, y) is a skew derivation of R (as well as for every y ∈ R, the map x → D(x, y) is a skew derivation of R). Let D : R×R −→ R be a symmetric biderivation. A biadditive symmetric mapping ∆ : R × R −→ R is said to be a symmetric generalized skew biderivation if for every x ∈ R, the map y → ∆(x,y) is a generalized skew derivation of R associated with D (as well as for every y ∈ R, the map x → ∆(x, y) is a generalized skew derivation of R associated with D). In this paper we study some commutativity conditions for a prime ring R related to the behaviour of the trace of symmetric generalized skew biderivations of R.
2016
File in questo prodotto:
File Dimensione Formato  
Debrecen 2016.pdf

solo utenti autorizzati

Tipologia: Versione Editoriale (PDF)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 326.61 kB
Formato Adobe PDF
326.61 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/3103333
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 0
social impact