广义逆与Green关系

摘要：

利用格林关系研究了半群上的广义逆。我们首先定义了逆元素的概念，并研究了它的性质。然后证明了经典广义逆（群逆、Drazin逆和Moore-Penrose逆）都属于这一类。

英文摘要：

We study generalized inverses on semigroups by means of Green's relations. We first define the notion of inverse along an element and study its properties. Then we show that the classical generalized inverses (group inverse, Drazin inverse and Moore-Penrose inverse) belong to this class.

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