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Lie Isomorphisms of Prime Rings Satisfying St4

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Southeast Asian Bulletin of Mathematics

Abstract

Let α : R R’ be a Lie isomorphism of prime rings. Suppose that if R satisfies the standard polynomial identity St4 of degree 4. We prove that α has a decomposition into the sum of a homomorphism (or the negative of an anithomomorphism) plus an additive map into the center of R’.

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Blau, P.S. Lie Isomorphisms of Prime Rings Satisfying St4. SEA bull. math. 25, 581–587 (2002). https://doi.org/10.1007/s100120200002

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  • DOI: https://doi.org/10.1007/s100120200002

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