primitive polynomial (English, noun)
expansion: primitive polynomial (plural primitive polynomials)
Senses:
topics: algebra
mathematics
sciences
qualifier: ring theory
glosses: 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.
topics: algebra
mathematics
sciences
qualifier: field theory
glosses: A polynomial over a given finite field whose roots are primitive elements; especially, the minimal polynomial of a primitive element of said finite field.
Forms:
form: primitive polynomials
tags: plural