Volume 6 • Issue 1 • PP: 28-34 • 2023
An S-Original Algebraic Property Of Lie Algebras
Open Access & Copyright
© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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
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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