Journals / Turkish Journal of Mathematics / 2009 / Cilt: 33 - Sayı: 3
Integral and homothetic indecomposability with applications to irreducibility of polynomials
- Pages
- 283–294
- DOI
- —
Abstract
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].
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].