The group inverse and core inverse of sum of two elements in a ring
The group inverse and core inverse of sum of two elements in a ring
复制标题
环中两个元素之和的群逆和核心逆
DOI：
10.1080/00927872.2019.1654497
复制
发表时间：
2020
影响因子：
0.7
通讯作者：
Xia Zhu
中科院分区：
文献类型：
--
作者：
Mengmeng Zhou;Jianlong Chen;Xia Zhu
在dedekind -有限环中，给出了不同条件下两个群可逆元和的群逆。然后，研究了两个核心可逆元素和的核心逆。进一步给出了两个核心可逆元差的核心逆。这些结果推广了复矩阵的相应结果。
In Dedekind-finite ring, we present the group inverse of sum of two group invertible elements under different conditions. Then, the core inverse of a sum of two core invertible elements is investigated. Furthermore, the core inverse of the difference of two core invertible elements is presented. These results generalized the corresponding results of complex matrices.