摘要
本文借助U-超富足半群的半格分解定理给出了一种U-超富足半群的构造方法.这一结果推广了关于超富足半群的结构定理.此外,给出了完全J单半群平移壳的结构定理,此定理推广了完全单半群平移壳的结构定理.
In this paper, a construction method for U-superaundant semigroups based on the semilattice decomposition theorem for U-superabundant semigroups is obtained. The result generalizes the structure theorem of superabundant semigroups. Moreover, a structure theorem of the translational hull of completely J-simple semigroups is given. The result is a generalization of the structure theorem of the translational hull for completely simple semigroups.
出处
《数学进展》
CSCD
北大核心
2014年第1期35-47,共13页
Advances in Mathematics（China）
基金
supported by NSFC(No.10971160,No.11226044)
Shaanxi Provincial Education Department Fund(No.12JK0876)
the Young Science and Technology Fund of Xi'an University of Architecture and Technology(No.QN1136)
关键词
U-超富足半群
正规Rees矩阵半群
平移壳
完全J单半群
U-superabundant semigroup
normalized Rees matrix semigroup
translational hull
completely J-simple semigroup
