U-超富足半群的结构与完全J单半群的平移壳(英文）  

The Structure of U-superabundant Semigroups and the Translational Hull of Completely J-simple Semigroups

作　　者：袁莹[1,2] 宫春梅[2] 马思遥[2] 

机构地区：[1]西安建筑科技大学土木工程学院,西安陕西710055 [2]西安建筑科技大学理学院,西安陕西710055

出　　处：《数学进展》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)

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.

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 

分 类 号：O152.7[理学—数学]