A Rickart-Like Theorem for the Additivity of Multiplicative Maps on Rings

Bana Al Subaiei, Noômen Jarboui and Ngai-Ching Wong

Journal of Mathematics, 2022, vol. 2022, 1-4

Abstract: Rickart’s theorem states that every bijective multiplicative mapping of a Boolean ring R onto an arbitrary ring S is necessarily additive. We prove a version of Rickart’s theorem for non-bijective mappings. This enables us to partially answer a question that was left open (Al Subaiei, B., Jarboui, N. On the Monoid of Unital Endomorphisms of a Boolean Ring. Axioms 2021, 10, 305).

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5052308

DOI: 10.1155/2022/5052308

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