Nur Aini Hidayati, Hery Susanto, I. Made Sulandra, Santi Irawati, Mohammad Agung, Angelina Chin Yan Mui
On prime ring R with a commutator (equation presented) and symmetric biderivation B can be constructed symmetric generalized biderivation Δ with associated symmetric biderivation B. However, a prime ring with symmetric generalized biderivation Δ does not always become a commutative ring. This article constructs the conditions for two elements in the prime ring which will be calculated by the product of the commutator so that the ring becomes commutative, i.e there is a non-zero ideal I of R such that one of the following three conditions holds for all (equation presented). So we get the commutativity of prime rings with generalized symmetric biderivations. © 2024 American Institute of Physics Inc.. All rights reserved.
Mathematics Department, Universitas Negeri Malang, Malang, Indonesia; Mathematics Department, University of Malaya, Kuala Lumpur, Malaysia
