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New Examples of Radical Join-Meet Ideals

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 28 Feb 2022Embargo end date: 01 Jan 2022Publisher:Everant JournalsJournal:INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH, volume 10 (eissn: 2320-7167, Copyright policy )
Authors: Oshida, Yohei;

doi: 10.47191/ijmcr/v10i2.07 , 10.5281/zenodo.6302500 , 10.5281/zenodo.6302499 , 10.48550/arxiv.2202.06822

arXiv: http://arxiv.org/abs/2202.06822

New Examples of Radical Join-Meet Ideals

Abstract

For non-distributive lattice L, it is not yet known classes of L with the property that the join-meet ideal of L is radical. In this paper, we give a partial answer to this problem.

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Keywords

Finite lattices, Non-distributive non-modular lattices, Join-meet ideal, Radical ideal, Compatible monomial order, Gr��bner basis, FOS: Mathematics, 13P10, 06A11, 06B05, Mathematics - Commutative Algebra, Commutative Algebra (math.AC)

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This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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impulse
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