Let R be an associative ring with unity 1 and let $$a,b,c\in R$$ . In this paper, several characterizations for left and right hybrid (b, c)-inverses of a are derived. Moreover, their formulae are given by regularities of certain elements. Then, we give characterizations of right (b, c)-inverses and right annihilator (b, c)-inverses of the product of three elements. Finally, relations among the right hybrid (b, c)-inverse of paq, the right (qb, c)-inverse of aq and the right annihilator (b, cp)-inverse of aq are given.

中文翻译：

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环中左右杂化 (b, c)-逆的表征和表示

令 R 为单位为 1 的关联环，令 $$a,b,c\in R$$ 。在本文中，导出了 a 的左右混合 (b, c)-逆的几个特征。而且，它们的公式是由某些元素的规律给出的。然后，我们给出了三个元素的乘积的右 (b, c)-逆和右湮灭子 (b, c)-逆的刻画。最后，给出了paq的右杂合(b, c)-逆、aq的右(qb, c)-逆和aq的右湮灭(b, cp)-逆之间的关系。