正则FI-代数上的伴随算子  

On the adjoint operators of regular FI-algebras

作　　者：朱怡权[1] 

机构地区：[1]肇庆学院数学系,广东肇庆526061

出　　处：《宁夏大学学报（自然科学版）》2003年第4期296-299,共4页Journal of Ningxia University(Natural Science Edition)

基　　金：广东省自然科学基金资助项目(021073);广东省高校自然科学研究基金资助项目(Z02017)

摘　　要：研究了正则FI 代数的性质,并证明了对于正则FI 代数(L,→,0)的蕴涵算子→,存在惟一满足条件(a b)→c=a→(b→c)的算子 ,使得( ,→)成为伴随对.所得结果在一定程度上反映了正则剩余格内部结构的特征.The regular FI-algebras are further studied because of their wide applications in logic systems, the new properties of regular FI-algebras are obtained. Moreover, it is proved that if (L,→,0) is a regular FI-algebra then there is the unique implicaton operator  such that(,→) to become an adjoint couple on L satisfying the condition (ab)→c=a→(b→c). These results may describe the characterizations of interior structures of the regular FI-algebras.

关 键 词：正则FI-代数 伴随算子 正则剩余格 模糊逻辑 伴随半群 蕴涵算子 FUZZY蕴涵代数 

分 类 号：O15[理学—数学] O159[理学—基础数学]