富足半群的拟理想断面与旋积
Quasi-ideal transversals of abundant semigroups and spined products
摘要：
给出富足半群的拟理想适当断面的一个新的、更简单的结构，它与Saito给出的正则半群的弱乘法逆断面的结构在性质上相似.作为推论，我们对富足半群的乘法断面也得到了类似的结果，并考虑了富足半群实际上是正则的情形，给出了逆断面的一些新的结构定理。
英文摘要：
We provide a new and much simpler structure for quasi-ideal adequate transversals of abundant semigroups in terms of spined products, which is similar in nature to that given by Saito for weakly multiplicative inverse transversals of regular semigroups. As a consequence we deduce a similar result for multiplicative transversals of abundant semigroups and also consider the case when the semigroups are in fact regular and provide some new structure theorems for inverse transversals.
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