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1·In the present paper, we construct geometric lattice with idempotent matrix.

本文就想利用特殊矩阵来构造几何格。

2·Let R be an abelian ring ( all idempotents of R lie in the center of R), and A be an idempotent matrix over R.

设R是一阿贝尔环（R的所有幂等元都在中心里），A是R上的一幂等阵。

3·Nine equivalent conditions of real idempotent matrix are given and proved, and one equivalent condition of real symmetric idempotent matrix is also given in this paper.

给出并证明了实幂等矩阵的九个等价条件，以及实对称幂等矩阵的一个等价条件。

4·In this paper, author makes a study on the characteristics of idempotent matrix and involution matrix, and computes the number of idempotent matrices and involution matrices over finite field.

本文研究了幂等阵和对合阵的特性，并计算出有限域上幂等阵和对合阵的个数。

5·The direct sum decomposition of the addition of a linear transformation under the coprime polynomial was given, and it was used in the proof of some equality about the rank of idempotent matrix.

给出了两两互素多项式下线性变换的核的直和分解，并应用于幂等矩阵（对合矩阵）的秩的等式证明中。

6·I discuss idempotent, generalized inverses of general sign pattern matrix.

讨论了一般符号模式矩阵的幂等性和广义逆。