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Journal of the Ramanujan Mathematical Society

Volume 38, Issue 1, March 2023  pp. 33–46.

Transversal intersection and sum of polynomial ideals

Authors:  Joydip Saha, Indranath Sengupta and Gaurab Tripathi
Author institution: Stat-Math Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata 700 108, India.

Summary:  In this paper we derive some conditions for transversal intersection of polynomial ideals and present some examples. Finally, as an application of the results proved, we compute the Betti numbers of ideals of the form I{1}(XY) + J, where X and Y are some generic or generic symmetric matrices and J is the ideal generated by the 2× 2 minors of the matrix consisting of any two rows of X.

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