Auslander Bounds and Homological Conjectures
Jiaqun Wei
TL;DR
This paper introduces Auslander bounds, invariants linked to homological conjectures, and explores their properties and implications in the context of rings satisfying Auslander's conjecture.
Contribution
It defines Auslander bounds and establishes their significant relationship with key homological conjectures in ring theory.
Findings
Auslander bounds are closely related to homological conjectures.
The paper proves new properties of Auslander bounds.
Connections between Auslander's conjecture and homological invariants are clarified.
Abstract
Inspired by recent works on rings satisfying Auslander's conjecture, we study invariants, which we call Auslander bounds, and prove that they have strong relations to some homological conjectures.
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 · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology