Properties of the lattice of all multiply $\Omega$-canonical formations

We study the lattices $\Omega K_{n}$ and $K_{n}$ of all $n$-multiply $\Omega$-canonical and $n$-multiply canonical formations respectively. The main results of the paper are the proofs of $\mathfrak G$-separability of the lattice $\Omega K_n$ and coincidence of the systems of identities of the lattices $K_{n}$ and $K_{m}$ for different positive integers $n$ and $m$.