DBR0-代数及其弱化形式 LBR0-代数的性质

摘要

Based on the research in the non-ordered representation of BR0-algebra ,using the characteris-tics 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 → .Ac-cording 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 .%通过对B R0-代数无序表示形式的再研究，利用逻辑代数中交、并运算对偶的特点以及对偶范畴的思想，从经典代数的角度出发于一般集合上建立了一种对称形式的BR0-代数-DBR0-代数。证明了DBR0-代数是BR0-代数的又一新的无序表示形式，它将BR0-代数中的序关系蕴涵于基本运算·和→之中。根据DBR0-代数的形式提出了一种弱化的BR0-代数-LBR0-代数，并证明了LBR0-代数与正则FI代数是同一代数结构。