Orthogonal Lattices Of Algebraic Properties

The paper consists of three parts. It discusses some algebraic characters, which are based on the orthomodular lattice.In the first part,we introduce some properties of the variety V(MO₂) on the orthomodular lattice.In the second part,we raise one kind of new algebra and we name it the Weak-BL algebra by quoting the t operator T and its related operator A on the orthomodular lattice. Samely. we raise the other kind of algebra and we name it the Weak-Dual-BL algebra by the s operator S and its inverse related operator V on the orthomodular lattice.In the third part,we summarize the relationship between the algebraic systems: Heyting algebra. Quasi-heyting algebra, Weak-BL algebra and orthomodular lattice.