idempotent

The necessary and sufficient conditions of similarity of two idempotent matrices are proved, the idempotency of linear combinations of two idempotent matrices is discussed.

摘要证明了数域上两个同阶幂等阵相似充要条件是它们有相同秩；给出了幂等阵相似；讨论了两个幂等阵线性组合仍是幂等阵充要条件。

This paper is a study on the invertibility of the commutator of scalar-idempotent elements and scalar-involutory elements of a unitary ring.

本文研究在一个有单位元环中两个倍幂等元换位子与两个倍对合元换位子可逆性问题。