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Knutson ideals of generic matrices
- Source :
- Proceedings of the American Mathematical Society.
- Publication Year :
- 2022
- Publisher :
- American Mathematical Society (AMS), 2022.
-
Abstract
- In this paper we show that determinantal ideals of generic matrices are Knutson ideals. This fact leads to a useful result about Gröbner bases of certain sums of determinantal ideals. More specifically, given I = I 1 + … + I k I=I_1+\ldots +I_k a sum of ideals of minors on adjacent columns or rows, we prove that the union of the Gröbner bases of the I j I_j ’s is a Gröbner basis of I I .
- Subjects :
- Applied Mathematics
General Mathematics
Mathematics - Commutative Algebra
Subjects
Details
- ISSN :
- 10886826 and 00029939
- Database :
- OpenAIRE
- Journal :
- Proceedings of the American Mathematical Society
- Accession number :
- edsair.doi.dedup.....1834f73ca8ec77296a5c27899bac09a0