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arxiv: 1303.5333 · v2 · pith:RCVUSPGCnew · submitted 2013-03-21 · 🧮 math.RA

Elementary criteria for irreducibility of f(X^n)

classification 🧮 math.RA
keywords irreducibilityarbitrarycapelliconditionscriteriadomainelementaryestablished
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Very simple sufficient conditions for the irreducibility of $f(X^n)$ over an arbitrary unique factorization domain $Z$ are established via a generalization of a well known theorem of A. Capelli.

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