Integral and homothetic indecomposability with applications to irreducibility of polynomials

Koyuncu F., ÖZBUDAK F.

TURKISH JOURNAL OF MATHEMATICS, cilt.33, sa.3, ss.283-294, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 3
  • Basım Tarihi: 2009
  • Doi Numarası: 10.3906/mat-0801-12
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.283-294
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Being motivated by some methods for construction of homothetically indecomposable polytopes; we obtain new methods for construction of families of integrally indecomposable polytopes. As a result, we find new infinite families of absolutely irreducible multivariate polynomials over any field F. Moreover, we provide different proofs of some of the main results of Gao [2].