DBR_0-代数及其弱化形式LBR_0-代数的性质  

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

作　　者：朱广文[1] 吴洪博[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《纺织高校基础科学学报》2013年第3期302-305,共4页Basic Sciences Journal of Textile Universities

基　　金：国家自然科学基金资助项目(11171196)

摘　　要：通过对BR0-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.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 .

关 键 词：逻辑代数 BR0-代数 DBR0-代数 LBR0-代数 FI代数 

分 类 号：O141.1[理学—数学]