Year: 2024
Type: preprint
Abstract: We introduce the notion of indivisible sequences and show that to any indivisible sequence $\{S, Ψ: S \to R\}$ we can associate faithfully flat ring maps $R \to R'$ that are not descendable. As a corollary, we obtain the first example of a faithfully flat ring map between $\aleph_{n-1}$-countable rings that has descendability exponent $n$, and indeed a faithfully flat ring map between $\aleph_ω$-countable rings that is not descendable.
Source: arXiv (Cornell University)
Author: Zelich, Ivan
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4405031665