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In this paper, we introduce and discuss the concept of pseudo-t-norms on a complete Brouwerian lattice L, study the relation between the set of all infinitely ∧-distributive pseudo-t-norms and the set of all infinitely ∧-distributive implications on L in detail, and point out that three classes fundamental fuzzy implications and Yager's implication on [0, 1] are all infinitely ∧-distributive implications that can be induced by infinitely ∧-distributive pseudo-t-norms on L when L = [0, 1]. We also give out a method for generating pseudo-t-norms and implications on L.