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Galoitica: Journal of Mathematical Structures and Applications

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Online: 2834-5568
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Galoitica: Journal of Mathematical Structures and Applications
Full Length Article

Volume 6Issue 1PP: 28-34 • 2023

An S-Original Algebraic Property Of Lie Algebras

Lee Xu 1*
1University of Chinese Academy of Sciences, CAS, Mathematics Department, Beijing, China
* Corresponding Author.
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© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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 &nbsp 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.

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Xu, Lee. "An S-Original Algebraic Property Of Lie Algebras." Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 6, no. Issue 1, 2023, pp. 28-34. DOI: https://doi.org/10.54216/GJMSA.060104
Xu, L. (2023). An S-Original Algebraic Property Of Lie Algebras. Galoitica: Journal of Mathematical Structures and Applications, Volume 6(Issue 1), 28-34. DOI: https://doi.org/10.54216/GJMSA.060104
Xu, Lee. "An S-Original Algebraic Property Of Lie Algebras." Galoitica: Journal of Mathematical Structures and Applications Volume 6, no. Issue 1 (2023): 28-34. DOI: https://doi.org/10.54216/GJMSA.060104
Xu, L. (2023) 'An S-Original Algebraic Property Of Lie Algebras', Galoitica: Journal of Mathematical Structures and Applications, Volume 6(Issue 1), pp. 28-34. DOI: https://doi.org/10.54216/GJMSA.060104
Xu L. An S-Original Algebraic Property Of Lie Algebras. Galoitica: Journal of Mathematical Structures and Applications. 2023;Volume 6(Issue 1):28-34. DOI: https://doi.org/10.54216/GJMSA.060104
L. Xu, "An S-Original Algebraic Property Of Lie Algebras," Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 6, no. Issue 1, pp. 28-34, 2023. DOI: https://doi.org/10.54216/GJMSA.060104
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