1
University of Chinese Academy of Sciences, CAS, Mathematics Department, Beijing, China
(Leexu1244@yahoo.com)
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
References :
[1] N. JACOBSON . Lie algebra .Intersciance New York 1962
[2] J.Cuipo and M. Doj. The Clasification Of Compacte Lie Algebra With Commutative Nilpotent Radical .Pro.of the Am.Math.Soci.V.126 n1 (19980,15-23.
[3] N.Divinski, A.sulinski. Kurosh Radical Of Rig's With Opertors .Canad.J.Math 17,(1965), 228- 280.
[4] T.Anderson .Hereditary Radical And Derivation Of Algeb.Can.J.Math.21(1968),372-377.
[5] P.M. Cohn. On A Class Of Simple Ring's .J.Math.5 (1958) 103-107 .
[6] A.M.Slinco Uwagi O Rozniczkowania Pierscieni. Sib.Math.Z.13 (1972) 1395 1397.
[7] B.Cuarto,J.Gate. Linearly Compact Algebraic Lie Algebras And Coalgebraic Lie Coalgebras. Proc. of Am.Math.Soci.V.125.N7 (1997), 1945-1952.
[8] A.Kurosh . Radykaly Pierscini I Algebr . Mat Sb.33 (1953) 13-20.
Style | # |
---|---|
MLA | Lee Xu. "An S-Original Algebraic Property Of Lie Algebras." Galoitica: Journal of Mathematical Structures and Applications, Vol. 6, No. 1, 2023 ,PP. 28-34 (Doi : https://doi.org/10.54216/GJMSA.060104) |
APA | Lee Xu. (2023). An S-Original Algebraic Property Of Lie Algebras. Journal of Galoitica: Journal of Mathematical Structures and Applications, 6 ( 1 ), 28-34 (Doi : https://doi.org/10.54216/GJMSA.060104) |
Chicago | Lee Xu. "An S-Original Algebraic Property Of Lie Algebras." Journal of Galoitica: Journal of Mathematical Structures and Applications, 6 no. 1 (2023): 28-34 (Doi : https://doi.org/10.54216/GJMSA.060104) |
Harvard | Lee Xu. (2023). An S-Original Algebraic Property Of Lie Algebras. Journal of Galoitica: Journal of Mathematical Structures and Applications, 6 ( 1 ), 28-34 (Doi : https://doi.org/10.54216/GJMSA.060104) |
Vancouver | Lee Xu. An S-Original Algebraic Property Of Lie Algebras. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2023); 6 ( 1 ): 28-34 (Doi : https://doi.org/10.54216/GJMSA.060104) |
IEEE | Lee Xu, An S-Original Algebraic Property Of Lie Algebras, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 6 , No. 1 , (2023) : 28-34 (Doi : https://doi.org/10.54216/GJMSA.060104) |