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...atics)|ring]] of functions, which is the [[quotient ring|quotient]] of a [[polynomial ring]]. These algebraic properties can be defined in the context of arbitrary [

...ficients are important in advanced mathematics, and are discussed on the [[polynomial ring]] page. For the rest of the present article, all polynomials considered wi

...zero) with addition as the operation. The corresponding convolution is [[polynomial ring]] multiplication.

...n \mapsto n.X^{n-1}</math> and this extends to a linear map ''D'' on the [[polynomial ring]] <math>R[X]</math> over any [[ring theory|ring]] ''R''. Similarly we may

...a [[maximal ideal]].<ref>An ideal <math>I = \left(f(x)\right)</math> in a polynomial ring over a field is maximal if and only if <math>f(x)</math> is irreducible ove

...a [[maximal ideal]].<ref>An ideal <math>I = \left(f(x)\right)</math> in a polynomial ring over a field is maximal if and only if <math>f(x)</math> is irreducible ove