Greatest Common Divisor of Two Polynomials - GCD Over A Ring and Over Its Field of Fractions

GCD Over A Ring and Over Its Field of Fractions

In this section, we consider polynomials over a unique factorization domain R, typically the ring of the integers, and over its field of fractions F, typically the field of the rational numbers, and we denote R and F the rings of polynomials in a set of variables over these rings.

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