w-核EP逆在对合环上的新刻画OA
New Characterization of w-Core EP Inverse in Involutive Rings
考虑对合环上的w-核EP逆,从两个方面讨论其性质.一方面,定义w-核EP分解,通过该分解给出w-核EP逆的新刻画,并讨论w-核EP可逆元的一些新性质.另一方面,通过引入e=aⒹw(aw)k+1,f=waⒹw(aw)ka以及投射元p=awaⒹw,利用e,f和投射元p对w-核EP核逆进行等价刻画,并由此定义w-核EP序aⒹ≤wb,研究w-核EP序的性质及其等价刻画.
We considered the w-core EP inverse in involutive rings and discussed its properties from two aspects.On the one hand,the w-core EP decomposition was defined,and a new characterization of the w-core EP inverse was given through the w-core EP decomposition,and some new properties of the w-core EP invertible element were discussed.On the other hand,e=aⒹw(aw)k+1,f=waⒹw(aw)ka and the projection element p=awaⒹw were introduced.The w-core EP core inverse was equivalently characterized by using e,f and the projection element p,and the w-core EP orderaⒹ≤wb was defined accordingly.The properties and its equivalent characterizations of the w-core EP order were studied.
翟笃胜;宋贤梅
安徽师范大学数学与统计学院,安徽芜湖 241002安徽师范大学数学与统计学院,安徽芜湖 241002
数理科学
w-核逆w-核EP逆w-核EP分解w-核EP序
w-core inversew-core EP inversew-core EP decompositionw-core EP order
《吉林大学学报（理学版）》 2026 (3)
535-544,10
安徽省自然科学基金(批准号:2008085MA06)和安徽省教育厅重点研究项目(批准号:KJ2019A0488).
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