数学杂志Issue(4)：833-840,8.
具有左中心幂等元的U-富足半群
U-ABUNDANT SEMIGROUPS WITH LEFT CENTRAL IDEMPOTENTS
摘要
Abstract
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 Mα is a unipotent monoid and Λα is 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Key words
U-abundant semigroup/left central idempotent/unipotent monoid/∼-Green’s relation引用本文复制引用
孙燕,任学明,宫春梅..具有左中心幂等元的U-富足半群[J].数学杂志,2015,(4):833-840,8.基金项目
Supported by National Natural Science Foundation of China (11471255) （11471255）
Sci-entific Research Program Foundation of Shanxi Provincial Education Department (14JK1412) （14JK1412）
Funda-mental Research Foundation of School (JC1219) （JC1219）
Youth Foundation of School (QN1134) （QN1134）
