# Identifying the name of a theorem

1. Dec 14, 2014

### nuuskur

English is not my first language, all the material I have is in Estonian/Russian. The direct translation of it is something like:
Theorem on canonical factorization of functions - however googling it yields no meaningful result, therefore I'm guessing I have something wrong in the English terminology (I would like to know its English name). The theorem statement in mathematical terms goes as follows:
$\forall f\colon X\to Y, \exists g\colon X/ \ker{f}\to Y\ \ | f = g\cdot\kappa\colon\ \ \kappa\colon X\to X/ \ker{f}$

Last edited: Dec 14, 2014
2. Dec 14, 2014