Edge rings satisfying Serre's condition R_1
Takayuki Hibi, Lukas Katth\"an
TL;DR
This paper provides a combinatorial criterion to determine when the edge ring of a finite connected graph satisfies Serre's condition R_1, linking graph properties with algebraic conditions.
Contribution
It introduces a new combinatorial criterion for edge rings to satisfy Serre's condition R_1, connecting graph theory with algebraic geometry.
Findings
Established a combinatorial criterion for R_1 condition
Linked graph connectivity with algebraic properties of edge rings
Provided insights into the structure of edge rings satisfying R_1
Abstract
A combinatorial criterion for the edge ring of a finite connected graph to satisfy Serre's condition R_1 is studied.
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
TopicsRings, Modules, and Algebras · Advanced Topics in Algebra · Commutative Algebra and Its Applications