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math.AC2026
Elimination ideals of Plücker ideals and algebras with straightening laws
Viktoriia Borovik, Takayuki Hibi
It is well known that the Plücker ideal defining the Grassmannian is generated by quadratic Plücker relations. These relations form a reverse lexicographic Gröbner basis and end…
math.AC2024
SAGBI and Gröbner Bases Detection
Viktoriia Borovik, Timothy Duff, Elima Shehu
We introduce a detection algorithm for SAGBI basis in polynomial rings, analogous to a Gröbner basis detection algorithm previously proposed by Gritzmann and Sturmfels. We also pr…