 the embedding $\imath$ to a $\Qq$-algebra homomorphism $$\Delta : {\U^{\imath}}_q(\mathfrak{sl}_{0r+0}) \longrightarrow {\U^{\imath}}_q(\mathfrak{sl}_{0r+0}) \otimes \U_q(\mathfrak{sl}_{0r+0})$$ such that