吉林大学学报(理学版)2017,Vol.55Issue(5):1163-1166,4.DOI:10.13413/j.cnki.jdxblxb.2017.05.21
环中的n-核对合元与n-正规元
n-Core Involutory Elements and n-Normal Elements in Rings
摘要
Abstract
By introducing the concepts of n-core involutory elements and n-normal elements in ring R,we gave characterizations for n-core involutory elements and properties of Moore-Penrose invertible n-normal elements.The results show that if a∈ R(#) and m,n ∈ N,then a is an n-core involutory element if and only if (a*)n (a#)n,if and only if (a*)nam =(a(#))nam,if and only if (a*)nam =am (a(#))n,if and only if am (a*)n =(a(#))nam.关键词
n-核对合元/n-正规元/核逆/EP元Key words
n-core involutory element/n-normal element/core inverse/EP element分类
数理科学引用本文复制引用
郭丽,邹红林..环中的n-核对合元与n-正规元[J].吉林大学学报(理学版),2017,55(5):1163-1166,4.基金项目
吉林省自然科学基金(批准号:20160101264JC). (批准号:20160101264JC)