My question: What is the coproduct in the category of commutative rings?
2026-04-07 17:49:43.1775584183
What is the coproduct in the category of commutative rings?
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I will assume that you require your rings to be unital. Then the coproduct will just be the tensor product over $\mathbb{Z}$, i.e. the tensor product as $\mathbb{Z}$-modules (or equivalently abelian groups) with the induced ring structure.