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Turkish Journal of Mathematics

Authors

FATİH KOYUNCU

DOI

10.3906/mat-1009-17

Abstract

For any field F, there is a relation between the factorization of a polynomial f \in F[x_1,...,x_n] and the integral decomposition of the Newton polytope of f. We extended this result to polynomial rings R[x_1,...,x_n] 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.

First Page

18

Last Page

26

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Mathematics Commons

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