Two classes of Cohen–Macaulay clutters

In combinatorial commutative algebra, to characterize the Cohen–Macaulayness of some classes of graphs is an important topic. In this paper, we give complete characterizations for the Cohen–Macaulayness of two classes of clutters. One is interval clutters, a subclass of [Formula: see text]-acyclic clutters; the other is [Formula: see text]-cycles.

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Publication Details

Journal
Journal of Algebra and Its Applications
Published
2026-04-17
DOI
https://doi.org/10.1142/s0219498827502112
Primary Topic
Commutative Algebra and Its Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

Two classes of Cohen–Macaulay clutters

Chang Li, Lu Zheng, Qiong Liu, Jin Guo
Journal of Algebra and Its Applications
Commutative Algebra and Its Applications
article

Two classes of Cohen–Macaulay clutters

Chang Li, Lu Zheng, Qiong Liu, Jin Guo
article en

Abstract

In combinatorial commutative algebra, to characterize the Cohen–Macaulayness of some classes of graphs is an important topic. In this paper, we give complete characterizations for the Cohen–Macaulayness of two classes of clutters. One is interval clutters, a subclass of [Formula: see text]-acyclic clutters; the other is [Formula: see text]-cycles.

Journal of Algebra and Its Applications
Hainan University (CN), Shanghai University of Electric Power (CN)
Reduced inequalities
Openalex Percentile: Top 20%
Commutative Algebra and Its Applications
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