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Let ℜ and ℜ′ be alternative rings. We study the additivity of n-multiplicative isomorphisms from ℜ onto ℜ′ and of n-multiplicative derivations of ℜ. We prove that, if ℜ contains a family of nontrivial idempotents satisfying Martindale's conditions, then these two maps are additives.
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Ferreira et al. (2016) studied this question.
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