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| 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. |
| 关键词: U-富足半群 左中心幂等元 幂幺半群 ~-格林关系 |
| DOI： |
| 分类号:O152.7 |
| 基金项目: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). |
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| U-ABUNDANT SEMIGROUPS WITH LEFT CENTRAL IDEMPOTENTS |
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SUN Yan,REN Xue-ming,GONG Chun-mei
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| 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. |
| Key words: U-abundant semigroup left central idempotent unipotent monoid ～-Green's relation |
