An S-Original Algebraic Property Of Lie Algebras

Lee Xu

University of Chinese Academy of Sciences, CAS, Mathematics Department, Beijing, China

Abstract

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.

Keywords: S-Original Algebraic Property; Lie Algebras; characteristic zero field