Irreducible polynomials by the polytope method over integral domains

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2005 Turkey English Publisher:Selcuk University Research Center of Applied Mathematics

Authors: Koyuncu, Fatih;

handle: 20.500.12809/8680 , 20.500.12395/3695

Irreducible polynomials by the polytope method over integral domains

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Abstract

Ostrowski realized that there is a relation between the factorization of a multivariate polynomial over any field and the integral decomposition of the Newton polytope of this polynomial. Here, we extended this result to the multivariate polynomials over any integral domain. Moreover, we observed that this result is also valid for some special kind of multivariate polynomials over any commutative ring.

Country

Turkey

Related Organizations

Selçuk University
Turkey
Ankara Yıldırım Beyazıt University
Turkey
Muğla University
Turkey

Keywords

Integral indecomposability, Multivariate polynomials, Matematik, Polytopes, Politoplar, Çok değişkenli polinomlar, Bütünsel ayrışmazlık

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