Jianlong Chen

activity

20052022

most citedCharacterizations and representations of core and dual core inverses

81 citations · 130 across the 43 of their papers we have counts for

collaborators

43 papers

math.RA2022★ 1 cited

A new class of generalized inverses in semigroups and rings with involution

Huihui Zhu, Liyun Wu, Jianlong Chen

Let $S$ be a $*$ -semigroup and let $a, w, v \in S$ . The initial goal of this work is to introduce two new classes of generalized inverses, called the $w$ -core inverse and the dual $v$ …

math.RA2020

m-weak group inverses in a ring with involution

Yukun Zhou, Jianlong Chen, Mengmeng Zhou

In a unitary ring with involution, we prove that each element has at most one weak group inverse if and only if each idempotent element has a unique weak group inverse. Furthermore…

math.RA2019

The (b, c)-inverse in semigroups and rings with involution

Xiaofeng Chen, Jianlong Chen

In this paper, we first prove that if a is both left (b, c)-invertible and left (c, b)-invertible, then a is both (b, c)-invertible and (c, b)-invertible in a *-monoid, which gener…

math.RA2018

Continuity of the core-EP inverse and its applications

Yuefeng Gao, Jianlong Chen, Pedro Patricio

In this paper, firstly we study the continuity of the core-EP inverse without explicit error bounds by virtue of two methods. One is the rank equality, followed from the classical…

math.RA2018

The core and dual core inverses of morphisms with kernels

Tingting Li, Jianlong Chen, Mengmeng Zhou +1

Let $C$ be an additive category with an involution $*$ . Suppose that $φ : X \to X$ is a morphism with kernel $κ : K \to X$ in $C$ , then $φ$ is…

math.RA2018

The core and dual core inverse of a morphism with factorization

Tingting Li, Jianlong Chen

Let $C$ be a category with an involution $*$ . Suppose that $φ : X \to X$ is a morphism and $(φ_{1}, Z, φ_{2})$ is an (epic, monic) factorization of $φ$ through $Z$ ,…