• Corpus ID: 119150388

Transversal Intersection and Sum of Polynomial Ideals.

  title={Transversal Intersection and Sum of Polynomial Ideals.},
  author={Joydip Saha and Indranath Sengupta and Gaurab Tripathi},
  journal={arXiv: Commutative Algebra},
In this paper we derive some conditions for transversal intersection of polynomial ideals. We exhibit some examples. Finally, as an application of the results proved, we compute the Betti numbers for ideals of the form $I_{1}(XY) + J$, where $X$ and $Y$ are matrices and $J$ is the ideal generated by the $2\times 2$ minors of the matrix consisting of any two rows of $X$. 
1 Citations

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  • Springer-Verlag London Limited
  • 2011