一类三循环半群  

A Kind of Tricyclic Semigroups

作　　者：朱用文[1] 

机构地区：[1]烟台大学数学与信息科学系,山东烟台264005

出　　处：《烟台大学学报（自然科学与工程版）》2006年第3期166-169,共4页Journal of Yantai University(Natural Science and Engineering Edition)

基　　金：国家自然科学基金资助项目(10301004)

摘　　要：作为双循环半群的推广定义一种三循环半群.通过分析其运算给出了其自然表示;通过分析格林关系以及幂等元证明了该三循环半群不是双单的,并且除去幺元外均为非正则元.As a generalization of bicyclic semigroups, a kind of tricyclic semigroups is defined. By analyzing the multiplication, its natural representation is given. Basing on the Green＇s relations and the idempotents, It is proved that the tricyclic semigroup is not bisimple, and that every element except for the identity of the tricyclic semigroup is not regular .

关 键 词：三循环半群 格林关系 幂等元 正则 

分 类 号：O152[理学—数学]