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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.
Definition source: English Wiktionary via Wiktextract
Qualifier: ring theory
Topics: algebra, mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
A polynomial over a given finite field whose roots are primitive elements; especially, the minimal polynomial of a primitive element of said finite field.
Definition source: English Wiktionary via Wiktextract
Qualifier: field theory
Topics: algebra, mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
No etymology was provided for this word.
Across languages
Translations
2 source translations are retained for this English entry.
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Polish:
wielomian pierwotny
— polynomial over an integral domain such that no noninvertible element divides all of its coefficients
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Polish:
wielomian pierwotny
— polynomial over a finite field whose roots are primitive elements