Integral polytopes and polynomial factorization
Authors : Fatih Koyuncu
Pages : 18-26
Doi:10.3906/mat-1009-17
View : 9 | Download : 7
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :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.Keywords : Key words: Integral polytopes, integral indecomposability, multivariate polynomials, absolute irreducibility