  We study inflation on a non-commutative space-time within the framework of
enveloping algebra approach which allows for a consistent formulation of
general relativity and of the standard model of particle physics. We show that
within this framework, the effects of the non-commutativity of spacetime are
very subtle. The dominant effect comes from contributions to the process of
structure formation. We describe the bound relevant to this class of
non-commutative theories and derive the tightest bound to date of the value of
the non-commutative scale within this framework. Assuming that inflation took
place, we get a model independent bound on the scale of space-time
non-commutativity of the order of 19 TeV.
