具有左中心幂等元的U-富足半群（英文）  

U-ABUNDANT SEMIGROUPS WITH LEFT CENTRAL IDEMPOTENTS

作　　者：孙燕[1] 任学明[1] 宫春梅[1] 

机构地区：[1]西安建筑科技大学理学院,陕西西安710055

出　　处：《数学杂志》2015年第4期833-840,共8页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11471255);Scientific Research Program Foundation of Shanxi Provincial Education Department(14JK1412);Fundamental Research Foundation of School(JC1219);Youth Foundation of School(QN1134)

摘　　要：本文研究了具有左中心幂等元的U-富足半群的半格分解.利用半格分解,证明了半群S为具有左中心幂等元的U-富足半群,当且仅当S为直积Mα×Λα的强半格,其中Mα是幂幺半群,Λα是右零带.这一结果为具有左中心幂等元的U-富足半群结构的建立奠定了基础.In this paper, we study the semilattice decomposition of U-abundant semigroups with left central idempotents. By using this semilattice decomposition, it is proved that a semigroup S is a U-abundant semigroup with left central idempotents if and only if it is a strong semilattice of a direct product Mα× Λα, where Mαis a unipotent monoid and Λαis a right zero band. This result is the basis of the establishing of the structure theorem of U-abundant semigroups with left central idempotents.

关 键 词：U-富足半群 左中心幂等元 幂幺半群 ^-格林关系 

分 类 号：O152.7[理学—数学]