- Turkish Journal of Mathematics
- Vol: 33 Issue: 3
- Integral and homothetic indecomposability with applications to irreducibility of polynomials
Integral and homothetic indecomposability with applications to irreducibility of polynomials
Authors : Integral And Homothetic Indecomposabilit To
Pages : 283-294
View : 8 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
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].Keywords : Absolute irreducibility, polytopes, integral indecomposability.