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Generalizations of Zhou Inverse of Element in Rings
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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.
Title: Generalizations of Zhou Inverse of Element in Rings
Description:
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.
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