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· DOI 10.1142/s0219498826502014

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The Non-Pure Dual Exchange Property in Low Dimensions

math.AC · 2026-06-05 · unverdicted · novelty 4.0

Every integrally closed monomial ideal in two variables has the non-pure dual exchange property, and Borel ideals in three variables satisfy it if the condition holds on their Borel generators via degree inequalities.

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  • The Non-Pure Dual Exchange Property in Low Dimensions math.AC · 2026-06-05 · unverdicted · none · ref 4

    Every integrally closed monomial ideal in two variables has the non-pure dual exchange property, and Borel ideals in three variables satisfy it if the condition holds on their Borel generators via degree inequalities.