在给出它的若干特征之后，指出这一类半群也是群的矩阵的幂零元-理想扩张，但反之未必成立。

Also, after some prelimenaries, We have Obtained that the semigroup is further nil-extension of the matrix of groups, but the converse is not all true.

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本文定义了有核半群的局部幂零根，并证明了与环相近的一些性质。

In this paper, we define the local nilpotent radical of a semigroup having kernel and prove some properties which is similar to rings.

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