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# GRÖBNER BASES AND DETERMINANTAL IDEALS -- An Introduction

@inproceedings{Bruns2003GRBNERBA, title={GR{\"O}BNER BASES AND DETERMINANTAL IDEALS -- An Introduction}, author={Winfried. Bruns}, year={2003} }

- Published 2003

We give an introduction to the theory of determinantal ideals and rings, their Gröbner bases, initial ideals and algebras, respectively. The approach is based on the straightening law and the Knuth-Robinson-Schensted correspondence. The article contains a section treating the basic results about the passage to initial ideals and algebras. Let K be a field and X an m × n matrix of indeterminates over K. For a given positive integer t ≤ min(m, n), we consider the ideal I t = I t (X) generated by… CONTINUE READING

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