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

作　　者：柯圆圆 梁家辉 王龙[2] KE Yuanyuan;LIANG Jiahui;WANG Long(School of Artificial Intelligence,Jianghan University,Wuhan 430056,China;College of Mathematical Science,Yangzhou University,Yangzhou 225002,Jiangsu Province,China)

机构地区：[1]江汉大学人工智能学院,武汉430056 [2]扬州大学数学科学学院,江苏扬州225002

出　　处：《吉林大学学报（理学版）》2023年第4期733-738,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金青年科学基金(批准号:11901245,11901510);江苏省自然科学基金(批准号:BK20200944).

摘　　要：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.

关 键 词：核逆 加权核逆 加权伪核逆 右核逆 加权右核逆 加权右伪核逆 

分 类 号：O153.3[理学—数学]