(?, ?) ?Lie Ideals with Some New Circulars

Let R be a ring optional, U be an additive subgroup of R and be two mapping in most of our study we will consider R is prime ring with characteristic not equal 2, and (?, ?) functions equivalent automorphsem. The basic aim of this study Is the study of circulating Lie ideal to - Lie ideal mainstreaming some results at - Lie ideal using theorems non-generalized for the purpose of circulating provable and the use of these proofs generalized to help prove theorems other non-generalized.We can prove a lot of non-generalized theorems on the subject Lie ideal by these theorems that have been circulated in this research.