构造了一类以5维最简线状3 -李代数为极大次幂零理想的可解3 -李代数，并且对构造的3 -李代数进行了分类。

A class of solvable 3-lie algebras with a 5-dimensional maximal hypo-nilpotent ideal, which is a 5-dimensional simplest filiform 3-lie algebra, is constructed.

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我们引入幂零拟群的直觉模糊理想的概念。

We introduce the notion of an intuitionistic fuzzy ideal of a unipotent quasigroup.

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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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