Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/1932 2022 2022 University of Chinese Academy of Sciences, CAS, Mathematics Department, Beijing, China Lee Xu This paper is dedicated to answer the following question:If L is a Lie algebra over a field with characteristic zero, and if S is an original property in Lie algebras class, then does S is a characteristic ideal of L?.For this goal, we have proved many related theorems, and illustrated some examples. 2023 2023 28 34 10.54216/GJMSA.060104 https://www.americaspg.com/articleinfo/33/show/1932