有强带C-根的半群  

Semigroups with Strong Band Clifford Radicals

作　　者：李慧明[1] 高振林[1] 刘皖平 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《上海理工大学学报》2014年第1期15-20,共6页Journal of University of Shanghai For Science and Technology

摘　　要：应用半群理论简介中关于半群的根描述,引进半群的强(带)C-根、有强带C-根的半群等概念.指出有强带C-根的半群类包含左(右)群带的半格半群作为其子类.讨论强(带)C-根的性质,有强带C-根的半群的结构性质.明确它与左(右)群带的半格半群、左C-半群之间的关系.有强带C-根的半群的结构特征定理推广了左(右)群带的半格半群、左C-半群的结构特征定理的结果.这些结果表明,半群的根理论是研究半群结构的一种有效方法.The radicals of semigroups were described in accordance with the semigroup theory. The concepts of strong（band） C - radicals of semigroups and the semigroups with strong band C - radicals were defined. It was indicated that the semilattice of left（right） bands of groups and left C -semigroups are contained in the class of semigroups. The properties of the strong band C - radicalsand the semigroups with strong band C - radicals were studied. The structure theorem of this class of semigroups was proved. The results in the article generalize the results of semilattice of left（right） bands of groups and left C- semigroups. So,the theory of radicals of semigroup is an effective ways to study the structure of semigroups.

关 键 词：左(右)逆半群 (左)C-半群 强(带)C-根 左(右)群带的半格 

分 类 号：O152.7[理学—数学]