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math.AC2026
Depth and Krull dimension of Binomial edge ideals
Takayuki Hibi, Sara Saeedi Madani
Let denote the binomial edge ideal of a finite graph in the polynomial ring . We determine all triples with for which there exists a finite connect…
math.AC2026
Prime and Cohen--Macaulay binomial ideals with linear resolution
Takayuki Hibi, Ayesha Asloob Qureshi, Sara Saeedi Madani
Let be an ideal of a polynomial ring over a field for which is minimally generated by at least two quadratic binomials. Suppose that (i) is prime, (ii) is…