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math.AC2025
Grobner bases for determinantal facet ideals of simplicial complexes
Fahimeh Khosh-Ahang Ghasr
We provide necessary and sufficient conditions for simplicial complexes whose determinantal facet ideals admit reduced Grobner bases under diagonal term orders. Building on and ext…
math.AC2022
Powers of the edge ideals and matchings in hypergraphs
Fahimeh Khosh-Ahang Ghasr
In this work, some combinatorial lower bound for regularity of powers of the edge ideal of a uniform hypergarph is gained. A family of hypergraphs whose regularity of edge ideal at…