Transversal intersection and sum of polynomial ideals

Article Type

Research Article

Publication Title

Journal of the Ramanujan Mathematical Society

Abstract

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 I1(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. 2010 Mathematics Subject Classification: Primary 13D02; Secondary 13C40, 13P10, 13D07.

First Page

33

Last Page

46

Publication Date

12-1-2022

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