吉林大学学报（理学版）2026，Vol.64Issue(3)：535-544,10.DOI:10.13413/j.cnki.jdxblxb.2025279
w-核EP逆在对合环上的新刻画
New Characterization of w-Core EP Inverse in Involutive Rings
摘要
Abstract
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.关键词
w-核逆/w-核EP逆/w-核EP分解/w-核EP序Key words
w-core inverse/w-core EP inverse/w-core EP decomposition/w-core EP order分类
数理科学引用本文复制引用
翟笃胜,宋贤梅..w-核EP逆在对合环上的新刻画[J].吉林大学学报（理学版）,2026,64(3):535-544,10.基金项目
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). （批准号:2008085MA06）
