中文摘要：

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.

英文摘要：

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.