Jordan Derivations of Special Subrings of Matrix Rings

• 来源期刊: 代数集刊（英文版）
• 关键词: matrix ring derivation Jordan derivation
• 年，卷（期）: 2019,（1）
• 页码范围: 83-92
• 页数: 10页
• 语种: 英文
• DOI: 10.1142/S1005386719000087

摘要

Let K be a 2-torsion free ring with identity and Rn(K,J) be the ring of all n × 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 Rn(K,J) in this paper.The main result states that every Jordan derivation △ of Rn(K,J) is of the form △ =D + Ω,where D is a derivation of Rn(K,J) and Ω is an extremal Jordan derivation of Rn(K,J).