  Let \mathbb{F}_q^{n+l} denote the (n+l)-dimensional singular linear space
over a finite field \mathbb{F}_q. For a fixed integer m\leq\min\{n,l\}, denote
by \mathcal{L}^m_o(\mathbb{F}_q^{n+l}) the set of all subspaces of type
(t,t_1), where t_1\leq t\leq m. Partially ordered by ordinary inclusion, one
family of quasi regular semilattices is obtained. Moreover, we obtain a
association schemes and discuss the bound of a M-clique.
