skew polynomial ring


If (σ,δ) is a left skew derivation on R, then we can construct the (left) skew polynomial ring R[θ;σ,δ], which is made up of polynomialsPlanetmathPlanetmath in an indeterminate θ and left-hand coefficients from R, with multiplicationPlanetmathPlanetmath satisfying the relationMathworldPlanetmath

θr=σ(r)θ+δ(r)

for all r in R.

Title skew polynomial ring
Canonical name SkewPolynomialRing
Date of creation 2013-03-22 11:49:35
Last modified on 2013-03-22 11:49:35
Owner antizeus (11)
Last modified by antizeus (11)
Numerical id 7
Author antizeus (11)
Entry type Definition
Classification msc 16S36