natural homomorphism

The natural homomorphismMathworldPlanetmathPlanetmath RR/I where R is a ring and I an ideal of R is the map αα+I. Coset operationsMathworldPlanetmath, e.g (α+β)+I=(α+I)+(β+I) guarantee this will be a homomorphismPlanetmathPlanetmathPlanetmathPlanetmathPlanetmathPlanetmathPlanetmathPlanetmathPlanetmath. Natural homomorphisms for groups can be defined similarly.

Title natural homomorphism
Canonical name NaturalHomomorphism
Date of creation 2013-03-22 14:33:32
Last modified on 2013-03-22 14:33:32
Owner iwnbap (1760)
Last modified by iwnbap (1760)
Numerical id 8
Author iwnbap (1760)
Entry type Definition
Classification msc 13B10
Related topic Homomorphism
Related topic QuotientRing
Defines Natural homomorphism