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9 votes
2 answers
434 views

Pushouts of commutative pseudomonoids

Let $(\mathcal{C},\otimes)$ be a symmetric monoidal bicategory. Assume that $\mathcal{C}$ has bicategorical coequalizers which are preserved by $\otimes$ in each variable. My question is if then the c …
3 votes
1 answer
491 views

Noetherian descent extension for a given ring

For a homomorphism of rings $R \to S$, the following are equivalent: a) $(-) \otimes_R S : \mathrm{Mod}(R) \to \mathrm{Mod}(S)$ reflects isomorphisms b) $R \to S$ satisfies effective descent with respect … For a reference, see "Descent Theory for Schemes" by Bachuki Mesablishvili; this work generalizes Grothendieck's descent theory for quasi-coherent modules. Question. Let $R$ be a ring. …