Ivan Zelich

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math.AC2024

Indivisible Sequences and Descendability

Ivan Zelich

We introduce the notion of indivisible sequences and show that to any indivisible sequence ${S, I^¨ : S \to R}$ we can associate faithfully flat ring maps $R \to R^{'}$ that are not d…

math.AC2024

Faithfully flat ring maps are not descendable

Ivan Zelich

We construct a faithfully flat algebra over the infinite polynomial ring on an algebraically closed field that is not descendable.