Re: GL_2=GE_2

In article <erc4vs$6jm$1@xxxxxxxxxxxxxxxxxxxxxxxxx>, buddha wrote:

i am quite curious to know the existing results on relation between
GL_2 and the group generated by elementary matrices for an arbitrary
ring R.

This is the subject of algebraic K-theory, in particular K_2,
see for an introduction
http://en.wikipedia.org/wiki/Algebraic_K-theory
or
http://planetmath.org/encyclopedia/AlgebraicKTheory.html

--
Maarten Bergvelt
.