Decomposition of transvection in elementary group

The elementary net (elementary carpet) $\sigma=(\sigma_{ij})$ an order 3 of additive subgroups commutative ring is considered, the derivative net $\omega$ connected with it, elementary group $E(\sigma)$ and net group $G(\omega)$. It is proved that a elementary transvection $t_{ij}(\alpha)$ from $E(\sigma)$ is a product of a matrix from group $\langle t_{ij}(\sigma_{ij}),t_{ji}(\sigma_{ji})\rangle$ and matrixes from $G(\omega)$.