81 citations · 87 across the 12 of their papers we have counts for
12 papers · 1 filter
A new class of generalized inverses in semigroups and rings with involution
Huihui Zhu, Liyun Wu, Jianlong Chen
Let be a -semigroup and let . The initial goal of this work is to introduce two new classes of generalized inverses, called the -core inverse and the dual …
Characterizations of annihilator -inverses in arbitrary rings
Chong-Quan Zhang, Qing-Wen Wang, Huihui Zhu
In this paper, we investigate some properties of annihilator -inverses in an arbitrary ring. We demonstrate that one-sided annihilator -inverses of elements in arbitr…
Characterizations and representations of core and dual core inverses
Jianlong Chen, Huihui Zhu, Pedro Patricio +1
In this paper, double commutativity and the reverse order law for the core inverse are considered. Then, new characterizations of the Moore-Penrose inverse of a regular element are…
Centralizer's applications to the inverse along an element
Huihui Zhu, Jianlong Chen, Pedro Patricio +1
In this paper, we first prove that the absorption law for one-sided inverses along an element holds, deriving the absorption law for the inverse along an element. We then apply thi…
Reverse order law for the inverse along an element
Huihui Zhu, Jianlong Chen, Pedro Patricio
In this paper, we introduce a new concept called left (right) g-MP inverse in a -monoid. The relations of this type of generalized inverse with left inverse along an element are…
The Moore-Penrose inverse of differences and products of projectors in a ring with involution
Huihui Zhu, Jianlong Chen, Pedro Patricio
In this paper, we study the Moore-Penrose inverses of differences and products of projectors in a ring with involution. Also, some necessary and sufficient conditions for the exist…
The inverse along a product and its applications
Huihui Zhu, Pedro Patricio, Jianlong Chen
In this paper, we study the recently defined notion of the inverse along an element. An existence criterion for the inverse along a product is given in a ring. As applications, we…
Additive property of pseudo Drazin inverse of elements in a Banach algebra
Huihui Zhu, Jianlong Chen
We study properties of pseudo Drazin inverse in a Banach algebra with unity 1. If and are pseudo Drazin invertible, we prove that is pseudo Drazin invertible if…
Additive and product properties of Drazin inverses of elements in a ring
Huihui Zhu, Jianlong Chen
We study the Drazin inverses of the sum and product of two elements in a ring. For Drazin invertible elements and such that and , it is shown that …
Representations of the Drazin inverse involving idempotents in a ring
Huihui Zhu, Jianlong Chen
We present some formulae for the Drazin inverse of difference and product of idempotents in a ring. A number of results of bounded linear operators in Banach spaces are extended to…
Additive Property of Drazin Invertibility of Elements
Long Wang, Huihui Zhu, Xia Zhu +1
In this article, we investigate additive properties of the Drazin inverse of elements in rings and algebras over an arbitrary field. Under the weakly commutative condition of $ab =…
Drazin Invertibility of Product and Difference of Idempotents in a Ring
Jianlong Chen, Huihui Zhu
In this paper, several equivalent conditions on the Drazin invertibility of product and difference of idempotents are obtained in a ring. Some results in Banach algebra are extende…