Turkish Journal of Mathematics
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].
DOI
10.3906/mat-0801-12
Keywords
Absolute irreducibility, polytopes, integral indecomposability.
First Page
283
Last Page
294
Recommended Citation
KOYUNCU, F, & ÖZBUDAK, F (2009). Integral and homothetic indecomposability with applications to irreducibility of polynomials. Turkish Journal of Mathematics 33 (3): 283-294. https://doi.org/10.3906/mat-0801-12