Author:
Kareem Falah Saad,Shlaka Hasan M
Abstract
Abstract
Let A be an associative algebra over a field 𝔽 of any characteristic with involution and let K = skew (A) = { a ∈ A | a* = − a} be its corresponding sub-algebra under the Lie product [a, b] = ab − ba for all a, b ∈ A. In this paper, inner ideals of such Lie algebras were defined, considered, studied, and classified. Some examples and results were provided. It is proved that for every Jordan-Lie inner ideal of K, one can find an idempotent e ∈ A such that this inner ideal may be written in the form eK e*. It is also proved inner ideals of such Lie algebras are regular.
Subject
General Physics and Astronomy