Universal and comprehensive Gröbner bases of the classical determinantal ideal
✍ Scribed by M. Kalinin
- Publisher
- Springer US
- Year
- 2010
- Tongue
- English
- Weight
- 597 KB
- Volume
- 168
- Category
- Article
- ISSN
- 1573-8795
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📜 SIMILAR VOLUMES
In this paper a new notion of reduction depending on an arbitrary non-empty set ORD of term orderings on a polynomial ring is introduced. A general Buchberger algorithm based on this notion is devised. For a single element set ORD it specializes to the ordinary Buehberger algorithm. For ORD being th
It is known that the reduced Gröbner basis of general polynomial ideals can be computed in exponential space. The algorithm, obtained by Kühnle and Mayr, is, however, based on rather complex parallel computations, and, above that, makes extensive use of the parallel computation thesis. In this paper
The Gröbner bases of the ideal generated by the symmetric functions are presented. Moreover we show how they can be fruitfully applied to a problem arising from coding theory.