In any U -abundant semigroup with an Ehresmann transversal, two significant components R and L are introduced in this paper and described by Green’s ∼ \sim -relations. Some interesting properties associated with R and L are explored and some equivalent conditions for the Ehresmann transversal to be a quasi-ideal are acquired. Finally, a spined product structure theorem is established for a U -abundant semigroup with a quasi-ideal Ehresmann transversal by means of R and L .

中文翻译：

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拟理想的Ehresmann横切面：纺丝产品结构

在任何具有Ehresmann横截面的U富集半群中，本文引入了两个重要的分量R和L，并由格林的\ sim-关系描述。探索了与R和L相关的一些有趣的性质，并获得了使Ehresmann横向成为准理想的一些等效条件。最后，通过R和L为具有理想理想Ehresmann横向的U-丰余半群建立了一个旋转积结构定理。