In this paper, we described the green relations on matrixsemigroup through the vector maximal independent subset of matrix.
文章利用矩阵的行向量组和列向量组的极大无关组刻画了矩阵半群中的格林关系。
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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.