Integral polytopes and polynomial factorization
| Autor: | Fatih Koyuncu |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Combinatorics
Discrete mathematics Minimal polynomial (field theory) Key words: Integral polytopes integral indecomposability multivariate polynomials absolute irreducibility Factorization Absolutely irreducible Irreducible polynomial General Mathematics Polynomial ring Factorization of polynomials Polytope Square-free polynomial Mathematics |
| Zdroj: | Volume: 37, Issue: 1 18-26 Turkish Journal of Mathematics |
| ISSN: | 1303-6149 1300-0098 |
| DOI: | 10.3906/mat-1009-17 |
| Popis: | For any field F, there is a relation between the factorization of a polynomial f \in F[x1,...,xn] and the integral decomposition of the Newton polytope of f. We extended this result to polynomial rings R[x1,...,xn] where R is any ring containing some elements which are not zero-divisors. Moreover, we have constructed some new families of integrally indecomposable polytopes in \mb giving infinite families of absolutely irreducible multivariate polynomials over arbitrary fields. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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