polynomial ring

Noun

 * 1)  A  (which is also a commutative algebra), denoted K[X], formed from the set of polynomials (usually of one variable, in a given set, X), with coefficients in a given ring (often a field), K.

Usage notes

 * $$K[X]$$ is called the polynomial ring (or ring of polynomials) in $$X$$ over $$K$$.
 * The notation $$K[X_1, X_2,\dots, X_n]$$ is standardly used for the case of a polynomial ring in multiple variables.
 * It is possible to speak of a polynomial ring in an infinite set of variables, provided it is assumed that any individual polynomial depends only on a finite number of variables.

Translations

 * Italian: anello dei polinomi