This combinatorial analysis shows equigenerated monomial ideals in three variables yield linear resolutions, indicating they also have linear quotients.
In this paper, we provide a combinatorial criteria for equigenerated monomial ideals in three variables to have linear resolutions. As a consequence, we prove that in three variables, equigenerated monomial ideals with linear resolutions have linear quotients.
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Đào et al. (2025) studied this question.
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