Gotzmann lexsegment ideals
Anda Olteanu, Oana Olteanu, and Loredana Sorrenti
TL;DR
This paper characterizes specific classes of lexsegment ideals, identifying when they are componentwise linear or Gotzmann, thereby advancing understanding of their algebraic properties.
Contribution
It provides a characterization of componentwise lexsegment ideals that are componentwise linear and identifies when lexsegment ideals generated in one degree are Gotzmann.
Findings
Characterization of componentwise linear componentwise lexsegment ideals
Identification of conditions for lexsegment ideals generated in one degree to be Gotzmann
Enhanced understanding of algebraic properties of lexsegment ideals
Abstract
In this paper we characterize the componentwise lexsegment ideals which are componentwise linear and the lexsegment ideals generated in one degree which are Gotzmann.
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
TopicsCommutative Algebra and Its Applications · Rings, Modules, and Algebras · Graph theory and applications