Filomat 2022 Volume 36, Issue 4, Pages: 1081-1087
https://doi.org/10.2298/FIL2204081P
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Cited by
Generalized inverses and the solutions of constructed equations
Peng Chunmei (School of Mathematical Sciences, Yangzhou University, Yangzhou, Jiangsu, P.R.China), pengchunmei0411@163.com
Zhou Hainan (School of Mathematical Sciences, Yangzhou University, Yangzhou, Jiangsu, P.R.China), 1909576069@qq.com
Wei Junchao (School of Mathematical Sciences, Yangzhou University, Yangzhou, Jiangsu, P.R.China), jcweiyz@126.com
In this paper, by virtue of the properties of the generalized inverses of the
elements in rings with involution, we construct the related equations. By
discussing the solutions of these equations, the generalized invertible
elements are characterized.
Keywords: EP element, normal element, partial isometry, strongly EP element, solutions of equation
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