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Corpus ID: 119150388

Transversal Intersection and Sum of Polynomial Ideals.

@article{Saha2016TransversalIA,
title={Transversal Intersection and Sum of Polynomial Ideals.},
author={Joydip Saha and Indranath Sengupta and Gaurab Tripathi},
journal={arXiv: Commutative Algebra},
year={2016}
}

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 $X$.

In this paper, we use a characterization of R-modules N such that fdRN = pdRN to characterize Cohen-Macaulay rings in terms of various dimensions. This is done by setting N to be the dth local… Expand

A set of polynomials G in a polynomial ring S over a field is said to be a universal Groebner basis, if G is a Groebner basis with respect to every term order on S. Twenty years ago Bernstein,… Expand

Abstract.For a standard graded noetherian algebra S that is of weakly linear type, the defining equations of the Veronesian subrings S(d) are described explicitly, for d sufficiently large.