Saha, JoydipJoydipSahaSengupta, IndranathIndranathSenguptaTripathi, GaurabGaurabTripathi2025-09-042025-09-042017-11-011312-886810.12988/ija.2017.7942https://d8.irins.org/handle/IITG2025/30124In this paper we propose a model for computing a minimal free resolution for ideals of the form I1(XnYn), where Xn is an n n skew-symmetric matrix with indeterminate entries xij and Yn is a generic column matrix with indeterminate entries yj. We verify that the model works for n = 3 and n = 4 and pose some statements as conjectures. Answering the conjectures in a rmative would enable us to computea minimal free resolution for general n.en-USGr ?obner basisBetti numbersdeterminantal idealsskew-symmetric matrixmapping coneArticlehttps://doi.org/10.12988/ija.2017.79421314-7595pp. 349-356Article1123456789/552