Sign in
Back
A Rickart-Like Theorem for the Additivity of Multiplicative Maps on Rings
Journal article   Open access  Peer reviewed

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

Bana Al Subaiei and Noomen Jarboui
Journal of mathematics (Hidawi), Vol.2022, pp.1-4
13/04/2022
DOI: https://doi.org/10.1155/2022/5052308

Abstract

Mathematics Physical Sciences Science & Technology
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).
url
https://doi.org/10.1155/2022/5052308View
Published (Version of record) Open

Metrics

1 Record Views

Details