由格蕴涵代数诱导的伴随半群  

Adjoint Semigroups Induced by Lattice Implication Algebras

作　　者：王学芳[1] 秦克云[1] 徐扬[1] 

机构地区：[1]西南交通大学应用数学系,四川成都610031

出　　处：《模糊系统与数学》2002年第1期10-12,共3页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目 (6 0 0 740 14;6 98740 33)

摘　　要：给出由格蕴涵代数诱导出的伴随半群及有关概念 ,详细讨论伴随半群中的元素即格蕴涵代数的左映射的性质 ,得到它们的几个等价条件。最后讨论由格蕴涵代数诱导的两个双格半群与伴随半群之间的关系 ,并证明这些半群是幂等的当且仅当它们是由格In this paper, adjoint semigroups induced by lattice implication algebras are proposed and some properties of their elements, i.e. left mappings are discussed, and then several equivalent conditions about them are given. Finally the relations between bilattice semigroups and adjoint semigroups induced by lattice implication algebras are discussed, and that these semigroups are idempotent if and only if they are induced by lattice H implication algebras is proved.

关 键 词：格蕴涵代数 伴随半群 左映射 滤子 双格半群 代数结构 

分 类 号：O159[理学—数学]