On the regularity of join-meet ideals of modular lattices

Rodica Dinu; Viviana Ene; Takayuki Hibi

doi:10.1216/jca.2021.13.479

Abstract

We study join-meet ideals associated with modular nondistributive lattices. We give a lower bound for the regularity and show that they are not linearly related.

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Rodica Dinu. Viviana Ene. Takayuki Hibi. "On the regularity of join-meet ideals of modular lattices." J. Commut. Algebra 13 (4) 479 - 488, Winter 2021. https://doi.org/10.1216/jca.2021.13.479

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Received: 14 February 2019; Revised: 13 May 2019; Accepted: 7 May 2019; Published: Winter 2021

First available in Project Euclid: 18 January 2022

MathSciNet: MR4366833

zbMATH: 1487.13030

Digital Object Identifier: 10.1216/jca.2021.13.479

Subjects:

Primary: 05E40 , 13D02 , 13H10

Keywords: join-meet ideals , lattices , linear syzygies , regularity

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