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Title

An S-Original Algebraic Property Of Lie Algebras

  Lee Xu 1 *

1  University of Chinese Academy of Sciences, CAS, Mathematics Department, Beijing, China
    (Leexu1244@yahoo.com)


Doi   :   https://doi.org/10.54216/GJMSA.060104

Received: December 18, 2022 Revised: April 04, 2023 Accepted: May 06, 2023

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.


Cite this Article as :
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)