Jordan Derivations of Special Subrings of Matrix Rings
ALGEBRA COLLOQUIUM, vol.26, no.1, pp.83-92, 2019 (SCI-Expanded, Scopus)
- 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
- Open Archive Collection: AVESIS Open Access Collection
- 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).