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math.AC2026
Cartwright--Sturmfelsness of complementary determinantal edge ideals
Koichiro Tani
We introduce complementary determinantal edge ideals. For a graph on vertices, the complementary determinantal edge ideal is generated by the maximal minors of a…
math.AC2026
Algebras with straightening laws on join- or meet-semidistributive lattices
Koji Matsushita, Sora Miyashita, Koichiro Tani
We study algebras with straightening laws on join- or meet-semidistributive lattices. We show that for a join-semidistributive (resp. meet-semidistributive) lattice, meet-distribut…