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对合环中两类幂等的广义逆 |
Two classes of idempotent generalized inverses in rings with involution |
投稿时间:2024-06-20 修订日期:2024-07-30 |
DOI: |
中文关键词: 伪核逆 幂等元 Moore-Penrose逆 |
英文关键词: Pseudo core inverse idempotent Moore-Penrose inverse |
基金项目:中国博士后面上基金(批准号:2020M671281) |
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中文摘要: |
本文主要考虑了有对合的环中伪核逆是幂等的元素类的一些等价刻画以及性质. 此外,还给出了可消环中Moore-Penrose逆是幂等的元素类的一些等价条件,推广了有关复矩阵最近的相关结论. |
英文摘要: |
In this paper, we consider the equivalent characterizations and properties of the elements whose pseudo core inverse is idempotent in rings with involution. In addition, we get some equivalent conditions for the elements whose Moore-Penrose inverse is idempotent in *-cancellable rings, extending the recent related results of complex matrices to the ring case. |
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