加权右核逆及加权右伪核逆的刻画

Characterizations of Weighted Right Core Inverseand Weighted Right Pseudo Core Inverse

利用代数方法考虑*-环上加权右核逆和加权右伪核逆的刻画问题.首先,引入加权右核逆的概念;其次,利用3个方程和右可逆元分别给出其刻画;最后,给出加权右伪核逆的定义和刻画.

We considered the characterization problem of weighted right core inverses and weighted right pseudo core inverses over*-rings by using algebraic methods.Firstly,the concept of weighted right core inverse was introduced.Secondly,three equations and right invertible elements were used to give its char acterization.Finally,the definition and characterization of weighted right pseudo core inverse were given.