The properties of DBR_0-algebra and its weaken form LBR_0-algebra

Based on the research in the non-ordered representation of BR0-algebra,using the characteristics of duality in the logic algebra about intersection and unite,and the ideology of dual category theory,a symmetric form of BR0-algebra—DBR0-algebra was established in general set from the perspective of classical algebra.It was proved that DBR0-algebra was another new non-ordered representation of BR0-algebra,in which the order relation of BR0-algebra was contained in the basic operation·and →.According to the form of DBR0-algebra,a new weaken BR0-algebra—LBR0-algebra was proposed,and it was proved that LBR0-algebra and regular FI algebra were the same algebraic structure.