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.
出处
《上海理工大学学报》
CAS
北大核心
2014年第1期15-20,共6页
Journal of University of Shanghai For Science and Technology
关键词
左(右)逆半群
(左)C-半群
强(带)C-根
左(右)群带的半格
left （ right ） inverse semigroups
（ left ） C - semigroups
strong （ band ） C -radicals
semilattice of left（right） bands of groups
