Generalizations of Zhou Inverse of Element in Rings
- Xinsong Yang
, - Weize Gao,
- Xiaodan Xia
Abstract
In this paper, the generalized inverse of element in an associative ring
is studied. Two kinds of new generalized inverses named gao zhou inverse
and F-generalized zhou inverse are proposed and their properties will be
thoroughly revealed. From the properties, it can be seen that the
F-generalized zhou inverse is between the generalized zhou inverse and
the Drazin inverse, and the gao zhou inverse is the generalization of
zhou inverse.Submitted to Mathematical Methods in the Applied Sciences Submission Checks Completed
Assigned to Editor
Reviewer(s) Assigned
