Schmitt-Vogel type lemma for reductions
Kyouko Kimura, Naoki Terai, Ken-ichi Yoshida
TL;DR
This paper introduces a Schmitt-Vogel type lemma for reductions, extending a key tool used in studying arithmetical ranks of squarefree monomial ideals to the context of reductions.
Contribution
The paper presents a new lemma analogous to Schmitt-Vogel's, specifically tailored for reductions in the study of monomial ideals.
Findings
Provides a new lemma for reductions similar to Schmitt-Vogel's
Enhances tools for analyzing arithmetical rank of monomial ideals
Facilitates further research in ideal theory
Abstract
The lemma given by Schmitt and Vogel is an important tool in the study of arithmetical rank of squarefree monomial ideals. In this paper, we give a Schmitt-Vogel type lemma for reductions as an analogous result.
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
TopicsAdvanced Algebra and Logic · Fuzzy and Soft Set Theory · Rings, Modules, and Algebras