Invertibility of ideals in Prufer extensions
Carmelo Antonio Finocchiaro, Francesca Tartarone
TL;DR
This paper explores the relationship between faithfully flatness and the invertibility of ideals in rings with zero divisors, using a general approach to invertibility in ring extensions.
Contribution
It extends the understanding of ideal invertibility in Prufer extensions by connecting it with faithfully flatness in rings with zero divisors.
Findings
Established conditions linking flatness and invertibility of ideals.
Identified new properties of Prufer extensions related to zero divisors.
Provided a framework for analyzing ideal invertibility in complex ring structures.
Abstract
Using the general approach to invertibility for ideals in ring extensions given by Knebush-Zhang, we investigate about connections between faithfully flatness and invertibility for ideals in rings with zero divisors.
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 · Commutative Algebra and Its Applications · Algebraic structures and combinatorial models