An S-Original Algebraic Property Of Lie Algebras

Lee

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

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Volume 6 • Issue 1 • PP: 28-34 • 2023

An S-Original Algebraic Property Of Lie Algebras

Lee Xu ^1*

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¹University of Chinese Academy of Sciences, CAS, Mathematics Department, Beijing, China

* Corresponding Author.

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

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

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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

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[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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