Geometric Characterization of Rings with Krull Dimension $\leq 1$
Jes\'us Mart\'in Ovejero
TL;DR
This paper offers a new way to understand noetherian rings with Krull dimension at most one by analyzing their spectrum, providing insights into their geometric structure.
Contribution
It introduces a novel characterization of noetherian rings with Krull dimension ≤ 1 based on spectral properties.
Findings
New spectral characterization of rings with Krull dimension ≤ 1
Enhanced understanding of the geometric structure of such rings
Potential applications in algebraic geometry
Abstract
In this paper, we provide a new characterization of noetherian rings with Krull dimension in terms of its spectrum.
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Taxonomy
TopicsRings, Modules, and Algebras · Advanced Topics in Algebra · Axon Guidance and Neuronal Signaling