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F-Purity of Binomial Edge Ideals

math.AC · 2026-01-21 · accept · novelty 8.0

Binomial edge ideals are F-pure in char 2 iff the graph is weakly closed, and graphs with asteroidal triples yield non-F-pure quotients in all positive characteristics.

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  • F-Purity of Binomial Edge Ideals math.AC · 2026-01-21 · accept · none · ref 15

    Binomial edge ideals are F-pure in char 2 iff the graph is weakly closed, and graphs with asteroidal triples yield non-F-pure quotients in all positive characteristics.