Repository logo
  • English
  • Italiano
  • Log In
    Have you forgotten your password?
Repository logo
Repository logo
  • Archive
  • Series/Journals
  • EUT
  • Events
  • Statistics
  • English
  • Italiano
  • Log In
    Have you forgotten your password?
  1. Home
  2. EUT Edizioni Università di Trieste
  3. Periodici
  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.31 (1999)
  6. On symmetric bi-derivations in rings
 
  • Details
  • Metrics
Options

On symmetric bi-derivations in rings

Ashraf, Mohammad
1999
Loading...
Thumbnail Image
ISSN
0049-4704
http://hdl.handle.net/10077/4319
  • Article

Abstract
Let R be a ring with centre Z(R). A bi-additive symmetric mapping D$\left(\cdot,\cdot\right)$ : $R\times R\longrightarrow R$ is called symmetric bi-derivation if for any fìxed $y\,\epsilon\, R,\, x\mapsto D\left(x,y\right)$is a derivation. The main result of the present paper states that if R is a semiprime ring of characteristic different from two and three which admits a symmetric bi-derivation D such that $\left[\left[D\left(x,x\right)x\right],x\right]\epsilon Z\left(R\right)$ holds for all $y\,\epsilon\, R$, then $\left[D\left(x,x\right)x\right]$=0, for all $y\,\epsilon\, R$. Further, some commutativity results are also obtained.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
31 (1999)
Subjects
  • semiprime ring

  • derivation

  • commutator

  • centre

Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
Mohammad Ashraf, "On symmetric bi-derivations in rings", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 31 (1999), pp. 25-36.
Languages
en
File(s)
Loading...
Thumbnail Image
Download
Name

AshrafRendMat31.pdf

Format

Adobe PDF

Size

156.44 KB

Indexed by

 Info

Open Access Policy

Share/Save

 Contacts

EUT Edizioni Università di Trieste

OpenstarTs

 Link

Wiki OpenAcces

Archivio Ricerca ArTS

Built with DSpace-CRIS software - Extension maintained and optimized by 4Science

  • Cookie settings
  • Privacy policy
  • End User Agreement
  • Send Feedback