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- W2964064027 abstract "Let G be a generalized matrix algebra over a commutative ring R, q: G × G ! G be an R-bilinear mapping and Tq: : G ! G be a trace of q. We describe the form of Tq satisfying the condition Tq(G)G = GTq(G) for all G 2 G. The question of when Tq has the proper form is considered. Using the aforementioned trace function, we establish sufficient conditions for each Lie isomorphism of G to be almost standard. As applications we characterize Lie isomorphisms of full matrix algebras, of triangular algebras and of certain uni- tal algebras with nontrivial idempotents. Some further research topics related to current work are proposed at the end of this article." @default.
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- W2964064027 date "2014-01-01" @default.
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- W2964064027 title "Commuting traces and Lie isomorphisms on generalized matrix algebras" @default.
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- W2964064027 doi "https://doi.org/10.7153/oam-08-46" @default.
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