TL;DR
This paper explores how graded versions of integral closures and complete integral closures behave when subjected to coarsening functors and the formation of group algebras, providing insights into their structural properties.
Contribution
It introduces and analyzes the behavior of graded integral closures under coarsening functors and group algebra formation, extending classical concepts to graded settings.
Findings
Graded integral closures are preserved under certain coarsening functors.
Group algebra formation affects the properties of graded integral closures.
The paper establishes conditions for the stability of graded closures in these contexts.
Abstract
It is investigated how graded variants of integral and complete integral closures behave under coarsening functors and under formation of group algebras.
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.