Centralizer’s applications to the (b, c)-inverses in rings

被引：0
作者：
Sanzhang Xu
Jianlong Chen
Julio Benítez
Dingguo Wang
机构：
[1] Huaiyin Institute of Technology,Faculty of Mathematics and Physics
[2] Southeast University,School of Mathematics
[3] Universitat Politècnica de València,Instituto de Matemática Multidisciplinar
[4] Qufu Normal University,School of Mathematical Sciences
来源：
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | 2019年 / 113卷
关键词：
Centralizer; -inverse; Absorption law; Reverse order law; 16W10; 15A09;
D O I：
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中图分类号：
学科分类号：
摘要：
We give several conditions in order that the absorption law for one sided (b, c)-inverses in rings holds. Also, by using centralizers, we obtain the absorption law for the (b, c)-inverse and the reverse order law of the (b, c)-inverse in rings. As applications, we obtain the related results for the inverse along an element, Moore–Penrose inverse, Drazin inverse, group inverse and core inverse.
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页码：1739 / 1746
页数：7
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