Spectra of small abelian categories
Mike Prest
TL;DR
This paper explores the topological structures of the lattice of Serre subcategories in small abelian categories, focusing on Ziegler and Zariski topologies.
Contribution
It introduces a detailed analysis of the Ziegler and Zariski topologies on Serre subcategories within small abelian categories, providing new insights into their structure.
Findings
Characterization of Ziegler topology on Serre subcategories
Comparison between Ziegler and Zariski topologies
Structural properties of the lattice of Serre subcategories
Abstract
We investigate the Ziegler and Zariski topologies on the lattice of Serre subcategories of a small abelian category.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Rings, Modules, and Algebras · Advanced Topics in Algebra