PreprintarXiv licencearXiv
The λ-chain condition for unit interval determinantal fiber rings
Abstract
It is shown that certain finite partially ordered sets arising from unit interval determinantal facet ideals satisfy the λ-chain condition. In addition, their applications to commutative algebra are briefly discussed.
Related
- A criterion for determinantal presentations of numerical semigroup rings
- The F-signature of Determinantal Rings
- Arithmetic pseudo-Frobenius numbers and determinantal numerical semigroup rings
- Energy diffusion in a pinned harmonic chain with free boundary condition and interactions of increasing range
- Memory-Dependent Interval Markov Chain Abstractions of Stochastic Dynamics
BibTeX
@misc{hibi2026λchain,
title = {{The $λ$-chain condition for unit interval determinantal fiber rings}},
author = {Takayuki Hibi and Sora Miyashita},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.15971},
eprint = {2610.15971},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.15971},
}
RIS
TY - UNPB
TI - The λ-chain condition for unit interval determinantal fiber rings
AU - Takayuki Hibi
AU - Sora Miyashita
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2610.15971
UR - https://arxiv.org/abs/2610.15971
AB - It is shown that certain finite partially ordered sets arising from unit interval determinantal facet ideals satisfy the λ-chain condition. In addition, their applications to commutative algebra are briefly discussed.
ER -