关键词: 逻辑代数, WBR0-代数, 偏序集, Pt-模, Ps-模

Abstract: Triangular norms and implication operators are interdependent and basic operators in logic algebras, but WBR0-algebras are logic algebras that are defined on general set only using implication operators. The WBR0-algebras have been studied in depth. The form of Pt-norm（t-norms on posets） on WBR0-algebras is given; the equivalence representation of WBR0-algebras has been obtained on posets through Pt-norms and implication operators; it is proved that the binary operation [⊕] in the original definition of the WBR0-algebras is the Ps-norm（s-norm on posets） of  WBR0-algebras. The results of this paper have positive reference value to the further study of WBR0-algebras and the relevant logic algebras.

Key words: logic algebra, WBR0-algebra, poset, Pt-norm, Ps-norm