The join-meet ideal of a finite lattice
Viviana Ene, Takayuki Hibi
TL;DR
This paper investigates radical binomial ideals linked to finite lattices, demonstrating that Gr"obner basis theory is an effective method for their analysis.
Contribution
It introduces the application of Gr"obner basis techniques to study radical binomial ideals of finite lattices, providing new insights into their structure.
Findings
Gr"obner basis theory effectively analyzes these ideals
Characterization of radical binomial ideals in finite lattices
Enhanced understanding of lattice-related algebraic structures
Abstract
Radical binomial ideals associated with finite lattices are studied. Gr\"obner basis theory turns out to be an efficient tool in this investigation.
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
TopicsPolynomial and algebraic computation · Commutative Algebra and Its Applications · Advanced Numerical Analysis Techniques