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Integral and homothetic indecomposability with applications to irreducibility of polynomials

Koyuncu, Fatih
Özbudak, Ferruh
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].