Integral polytopes and polynomial factorization
Turkish Journal of Mathematics, cilt.37, sa.1, ss.18-26, 2013 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 37 Sayı: 1
- Basım Tarihi: 2013
- Doi Numarası: 10.3906/mat-1009-17
- Dergi Adı: Turkish Journal of Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.18-26
- Ankara Yıldırım Beyazıt Üniversitesi Adresli: Hayır
Özet
For any field F, there is a relation between the factorization of a polynomial f is an element of 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 R-n giving infinite families of absolutely irreducible multivariate polynomials over arbitrary fields.