 \subset & \U_q(\mathfrak{sl}_{0r+0}) \subset \U_q(\mathfrak{sl}_{0r+0}) \subset \cdots ,\qquad \cdots     \subset & {\U^{\imath}}_q(\mathfrak{sl}_{0r+0}) \subset {\U^{\imath}}_q(\mathfrak{sl}_{0r+0}) \subset \cdots