Integral and homothetic indecomposability with applications to irreducibility of polynomials
TURKISH JOURNAL OF MATHEMATICS, cilt.33, sa.3, ss.283-294, 2009 (SCI-Expanded, Scopus, TRDizin)
- 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].