تقرير
Separating symmetric polynomials over finite fields
| العنوان: | Separating symmetric polynomials over finite fields |
|---|---|
| المؤلفون: | Lopatin, Artem, Martins, Pedro Antonio Muniz, Lima, Lael Viana |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Commutative Algebra, Mathematics - Combinatorics, Mathematics - Rings and Algebras, 13A50, 12E20 |
| الوصف: | The set $S(n)$ of all elementary symmetric polynomials in $n$ variables is a minimal generating set for the algebra of symmetric polynomials in $n$ variables, but over a finite field ${\mathbb F}_q$ the set $S(n)$ is not a minimal separating set for symmetric polynomials in general. We determined when $S(n)$ is a minimal separating set for the algebra of symmetric polynomials having the least possible number of elements. Comment: 8 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2401.03318 |
| رقم الأكسشن: | edsarx.2401.03318 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |