  In the present paper, we construct a monomorphism from (Artin) pure braid
group $PB_{n}$ into a group, which is `bigger' than $PB_{n}$. Roughly speaking,
this mapping is defined on words of braids by adding `new generators' between
generators of $PB_{n}$. By this mapping we can get a new invariant for
classical braids. As one of application of this invariant, we will show
examples, which are minimal words in $PB_{n}$ and the minimality can be shown
by the invariant.
