Let R be a commutative ring. A derivation d on an R-algebraPlanetmathPlanetmath A into an A-module M is an R-linear transformation d:AM satisfying the properties

  • d(a𝐱+b𝐲)=ad𝐱+bd𝐲

  • d(𝐱𝐲)=𝐱d𝐲+d𝐱𝐲

for all a,bR and 𝐱,𝐲A.

Title derivation
Canonical name Derivation
Date of creation 2013-03-22 12:02:41
Last modified on 2013-03-22 12:02:41
Owner djao (24)
Last modified by djao (24)
Numerical id 10
Author djao (24)
Entry type Definition
Classification msc 17A36
Classification msc 16W25
Classification msc 13N15