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等元的换位子与两个倍对合元的换位子的可逆性问题。

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

摘要证明域上两个同阶等阵相似的充要条件它们有相同的秩；给出等阵的相似标准型；讨论两个等阵的线性组合等阵的充要条件。