Characterizations and maximal classes of elements related to pseudo core inverses
Characterizations and maximal classes of elements related to pseudo core inverses
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DOI：
10.1007/s13398-020-00832-4
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发表时间：
2020-03
期刊：
影响因子：
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通讯作者：
Mengmeng Zhou;Jianlong Chen
中科院分区：
文献类型：
--
作者：
Mengmeng Zhou;Jianlong Chen
给出了对合环中伪核逆的一些新的刻画。首先，我们通过一个唯一的投影来刻画赝核逆。其次，我们证明了伪核逆是EP，并得到了伪核逆的另一种表达式。此外，我们还建立了EP元与伪核逆之间的关系。最后，研究了环中决定伪核逆的元素的极大类。
We present some new characterizations for the pseudo core inverse in rings with involution. Firstly, we characterize the pseudo core inverse by a unique projection. Secondly, we prove that the pseudo core inverse is EP and obtain another expression of the pseudo core inverse. Furthermore, we establish the relation between the EP element and the pseudo core inverse. Finally, maximal classes of elements in rings determining the pseudo core inverse are investigated.