幂等

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的环中两个倍幂等元的换位子与两个倍对合元的换位子的可逆问题。

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

摘要证明数域上两个同阶幂等阵相似的充要条件是它们有相同的秩；给出幂等阵的相似标准型；讨论两个幂等阵的合仍是幂等阵的充要条件。