零元素：集合中的一个元素，当它加上集合中的任何一个元素时，得到的数值等于被加元素值。

An element of a set that when added to any other element in the set produces a sum identical with the element to which it is added.

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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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将代数学中的幂零元概念作适当的解析学上的推广，可以绘出一个很满意回答。

A very satisfactory answer can be given in terms of the appropriate analytic generalization of the algebraic concept of nilpotence.

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