primitive polynomial
primitive polynomial · primitive polynomials
A polynomial over an integral domain R such that no noninvertible element of R divides…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.
Meaning
2 sensesA 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.
A polynomial over a given finite field whose roots are primitive elements; especially, the minimal polynomial of a primitive element of said finite field.
Translations
1 languagesForms
plural: primitive polynomials| Singular | primitive polynomial |
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| Plural | primitive polynomials |
regular