(algebra, ring theory) 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.

plural of polynomial basis

(algebra, ring theory) A basis of a polynomial ring (said ring being viewed either as a vector space over the field of coefficients or as a free module over the ring of coefficients).

plural of separable polynomial

(algebra, field theory) A polynomial over a given field that has distinct roots in the algebraic closure of said field (the number of roots being equal to the degree of the polynomial).

(algebra) polynomial ring

plural of cyclotomic polynomial

plural of Hermite polynomial

(mathematics) Any member of a polynomial sequence which can be considered as a generalization of the Fibonacci numbers.

plural of Fibonacci polynomial