Saha, JoydipJoydipSahaSengupta, IndranathIndranathSenguptaTripathi, GaurabGaurabTripathi2025-08-302025-08-302019-03-0110.1016/j.jsc.2018.06.0112-s2.0-85049070518https://d8.irins.org/handle/IITG2025/22663In this paper we compute Gröbner bases for determinantal ideals of the form I<inf>1</inf>(XY), where X and Y are both matrices whose entries are indeterminates over a field K. We use the Gröbner basis structure to determine Betti numbers for such ideals.trueBetti numbers | Completely irreducible systems | Determinantal ideals | Gröbner basisIdeals of the form I1(XY)Articlehttps://arxiv.org/pdf/1609.0276517-29March - April 20193arJournal2WOS:000449137900003