Characterizations of m-EP elements in rings
Characterizations of m-EP elements in rings
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DOI：
10.1080/03081087.2017.1347136
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发表时间：
2018-06
影响因子：
1.1
通讯作者：
Honglin Zou;Jianlong Chen;P. Patrício
中科院分区：
文献类型：
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作者：
Honglin Zou;Jianlong Chen;P. Patrício
摘要 设R为对合环。在本文中，我们将 m-EP 矩阵和 m-EP 算子的概念扩展到任意环情况。提出了环中 m-EP 元素的许多新特征。特别地，1-EP（即EP）元素的存在准则是通过群逆、Moore-Penrose逆和核逆获得的。还给出了 2-EP 的一些性质。
Abstract Let R be a ring with involution. In this paper, we extend the notions of m-EP matrices and m-EP operators to an arbitrary ring case. A number of new characterizations of m-EP elements in rings are presented. In particular, the existence criteria for 1-EP (i.e. EP) elements are obtained by means of the group inverse, Moore–Penrose inverse, and core inverse. Some properties of 2-EP are also given.