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- Title
Universal and comprehensive Gröbner bases of the classical determinantal ideal.
- Authors
Kalinin, M.
- Abstract
Let A =( x ij), i =1,2,... , k, j =1,2,... , l, 1 ≤ k ≤ l, be a matrix of independent variables, G be the set of maximal minors of A, and I = ( G) be the classical determinantal ideal. We show that G is a universal Gröbner basis of I. Also, a sufficient condition for G to be a universal comprehensive Gröbner basis is proved. Bibliography: 12 titles.
- Subjects
MATRICES (Mathematics); DETERMINANTAL rings; COMMUTATIVE rings; NUMERICAL analysis; ALGEBRA
- Publication
Journal of Mathematical Sciences, 2010, Vol 168, Issue 3, p385
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-010-9990-1