Cohen–Macaulay generalized binomial edge ideals

Let [Formula: see text] be a simple graph on [Formula: see text] vertices and let [Formula: see text] be the generalized binomial edge ideal associated to [Formula: see text] in the polynomial ring [Formula: see text]. We classify the Cohen–Macaulay generalized binomial edge ideals. Moreover, we study the unmixedness and classify the bipartite and power cycle unmixed ones.

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Publication Details

Journal
Journal of Algebra and Its Applications
Published
2024-12-27
DOI
https://doi.org/10.1142/s0219498826501227
Primary Topic
Commutative Algebra and Its Applications
Type
article
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article

Cohen–Macaulay generalized binomial edge ideals

Giancarlo Rinaldo, Luca Amata, Marilena Crupı
Journal of Algebra and Its Applications
Commutative Algebra and Its Applications
article

Cohen–Macaulay generalized binomial edge ideals

Giancarlo Rinaldo, Luca Amata, Marilena Crupı
article en

Abstract

Let [Formula: see text] be a simple graph on [Formula: see text] vertices and let [Formula: see text] be the generalized binomial edge ideal associated to [Formula: see text] in the polynomial ring [Formula: see text]. We classify the Cohen–Macaulay generalized binomial edge ideals. Moreover, we study the unmixedness and classify the bipartite and power cycle unmixed ones.

Journal of Algebra and Its Applications
University of Messina (IT)
Openalex Percentile: Top 57%
Commutative Algebra and Its Applications
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Cohen–Macaulay generalized binomial edge ideals — Giancarlo Rinaldo, Luca Amata, et al. · Journal of Algebra and Its Applications (2024) | TGRS Research Map | TGRS