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• W4280587411 abstract "Let R be an arbitrary associative ring (not necessarily with an identity). A sufficient condition is given to determine when a multiplicative isomorphism on the matrix ring Mn(R) is additive without the assumption of idempotents. We formulate a version for matrix rings over rings with identities, and then present two applications. One is a new characterization of the automorphisms of the matrix algebra over an arbitrary field by means of multiplicative preservers, and the other one is a new characterization of topologically isomorphisms of finite dimensional real Banach spaces with dimensions no less than 2 by the existence of multiplicative isomorphisms between their rings of all bounded linear operators." @default.
• W4280587411 created "2022-05-22" @default.
• W4280587411 creator A5023401832 @default.
• W4280587411 date "2022-05-17" @default.
• W4280587411 modified "2023-10-18" @default.
• W4280587411 title "Multiplicative maps of matrices over rings" @default.
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• W4280587411 doi "https://doi.org/10.1080/00927872.2022.2074026" @default.
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