研究了任意半环上正则元的广义逆的存在性.给出了任意半环上正则元的{1,2}-逆存在的一些充分条件,同时给出了{1,2}-逆存在时的表达式.作为{1,2}-逆的特殊情形,刻画了任意半环上正则元的Moore-Penrose逆和群逆的存在性.%In this paper,we investigate the generalized invertibility for regular elements in an arbitrary semiring.We give some sufficient conditions for the existence of a special kind of {1,2} inverse of a regular element a in an arbitrary semiring and give their expressions.As special cases of this {1,2} inverse,we characterize the Moore-Penrose invertibility and the group invertibility of a.
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