Affiliation:
1. School of Mathematics, Southeast University, Nanjing, China
2. Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huaian, China
3. Universitat Politècnica de València, Instituto de Matemática Multidisciplinar, Valencia, Spain
Abstract
In 2012, Drazin introduced a class of outer generalized inverse in a ring R,
the (b,c)-inverse of a for a, b, c ? R and denoted by a||(b,c). In this
paper, rank equalities of AkA||(B,C)- A||(B,C)Ak and (A*)kA||(B,C)-
A||(B,C)(A*)k are obtained. As applications, weinvestigate equivalent
conditions for the equalities (A*)kA||(B,C) = A||(B,C)(A*)k and AkA||(B,C) =
A||(B,C)Ak. As corollaries we obtain rank equalities related to the
Moore-Penrose inverse, the core inverse, and the Drazin inverse. The paper
finishes with some rank equalities involving different e
Publisher
National Library of Serbia
Cited by
4 articles.
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