Abstract
Natural questions related to the double category of rings with homomorphisms and bimodules lead to a reevaluation of what a morphism of rings is. We introduce matrix-valued homomorphisms and then drop preservation of identities, giving what are sometimes called amplification homomorphisms. We show how these give extensions of the double category of rings and give some arguments justifying their study.
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Paré, R. (2021). Morphisms of Rings. In: Casadio, C., Scott, P.J. (eds) Joachim Lambek: The Interplay of Mathematics, Logic, and Linguistics. Outstanding Contributions to Logic, vol 20. Springer, Cham. https://doi.org/10.1007/978-3-030-66545-6_8
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DOI: https://doi.org/10.1007/978-3-030-66545-6_8
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Online ISBN: 978-3-030-66545-6
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