Jordan Derivations of Special Subrings of Matrix Rings

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SAYIN U., KUZUCUOĞLU F.

ALGEBRA COLLOQUIUM, vol.26, no.1, pp.83-92, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 1
  • Publication Date: 2019
  • Doi Number: 10.1142/s1005386719000087
  • Journal Name: ALGEBRA COLLOQUIUM
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.83-92
  • Hacettepe University Affiliated: Yes

Abstract

Let K be a 2-torsion free ring with identity and R-n (K, J) be the ring of all n x n matrices over K such that the entries on and above the main diagonal are elements of an ideal J of K. We describe all Jordan derivations of the matrix ring R-n (K, J) in this paper. The main result states that every Jordan derivation Delta of R-n (K, J) is of the form Delta = D + Omega, where D is a derivation of R-n (K, J) and Omega is an extremal Jordan derivation of R-n (K, J).