algebraic independence of elementary symmetric polynomials
Theorem.
Let s1,s2,…,sn be the elementary symmetric polynomials in n variables t1,t2,…,tn over a commutative ring R.
Then s1,s2,…,sn are algebraically independent elements of
R[t1,t2,…,tn] over R.
Title | algebraic independence of elementary symmetric polynomials |
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Canonical name | AlgebraicIndependenceOfElementarySymmetricPolynomials |
Date of creation | 2013-03-22 14:49:11 |
Last modified on | 2013-03-22 14:49:11 |
Owner | mclase (549) |
Last modified by | mclase (549) |
Numerical id | 5 |
Author | mclase (549) |
Entry type | Theorem |
Classification | msc 05E05 |