TL;DR
This paper explores the positivity properties of ordered rings linked to compact convex polyhedra with interior, highlighting the order unit cancellation property and other related positivity results.
Contribution
It demonstrates that these ordered rings inherently satisfy the order unit cancellation property, providing new insights into their structural positivity features.
Findings
Ordered rings associated with convex polyhedra satisfy order unit cancellation.
The study establishes additional positivity properties of these rings.
Results contribute to the understanding of algebraic structures linked to convex geometry.
Abstract
We show that the ordered rings naturally associated to compact convex polyhedra with interior satisfy a positivity property known as order unit cancellation, and obtain other general positivity results as well.
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.