,A Functional Identity with an Automorphism in Semiprime Rings

• 作 者: Daniel Eremita
• 机 构: Department of Mathematics, University of Maribor PeF, Koroska 160, 2000 Maribor, Slovenia
• 出 处: 代数集刊（英文版）
• 发表日期: 2001年3期
• 关键词: automorphism semiprime ring functional identity

Let σ be an automorphism of a semiprime ring R, and let f, g, h, k be maps from a set S into R. The identity f(s)xg(t) = h(s)σ(x)k(t) for s, t ∈ S and x ∈ R is characterized. As an application, the form of σ-biderivations on semiprime rings is determined.