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arxiv: 0811.4029 · v1 · pith:C4NS7ZXUnew · submitted 2008-11-25 · 🧮 math.AG · math.AC· math.NT

Indecomposable polynomials and their spectrum

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keywords polynomialsspectrumfieldindecomposableaddressalgebraicbehaveclosure
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We address some questions concerning indecomposable polynomials and their spectrum. How does the spectrum behave via reduction or specialization, or via a more general ring morphism? Are the indecomposability properties equivalent over a field and over its algebraic closure? How many polynomials are decomposable over a finite field?

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