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Primitive polynomial

Related Terms:

gcd domain coefficient irreducible primitive element polynomial basis integral domain primitive part content noninvertible greatest common divisor polynomial field primitivity minimal polynomial

Noun

Definition: A polynomial over an integral domain R such that no noninvertible element of R divides all its coefficients at once; (more specifically) a polynomial over a GCD domain R such that the greatest common divisor of its coefficients equals 1.

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