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Centralizing traces and Lie triple isomo...
Fosner, Ajda...

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Centralizing traces and Lie triple isomorphisms on generalized matrix algebras by Fosner, Ajda ( Author )
Lemonjar Open Access
N.A
22-11-2014
Let G be a generalized matrix algebra over a commutative ring R and Z(G) be the center of G. Suppose that q:G×G⟶G is an R-bilinear mapping and Tq:G⟶G is the trace of q. We describe the form of Tq satisfying the condition [Tq(G),G]∈Z(G) for all G∈G. The question of when Tq has the proper form is considered. Using the aforementioned trace function, we establish sufficient conditions for each Lie triple isomorphism of G to be almost standard. As applications we characterize Lie triple isomorphisms of full matrix algebras, of triangular algebras and of certain unital algebras with nontrivial idempotents. Some topics for future research closely related to our current work are proposed at the end of this article.
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Article
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36.88 KB
English
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MYR 0.01
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http://arxiv.org/abs/1411.6122
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