8 papers
A new definition of upward planar order
Ting Li, Xuexing Lu
We give a more coherent definition of upward planar order.
On the g-Hirano invertibility in Banach algebras
Honglin Zou, Tingting Li, Yujie Wei
In a Banach algebra, we introduce a new type of generalized inverse called g-Hirano inverse. Firstly, several existence criteria and the equivalent definition of this inverse ar…
Characterizations of weighted core inverse in rings with involution
Tingting Li
is a unital ring with involution. We investigate the characterizations and representations of weighted core inverse of an element in by idempotents and units. For example,…
The core and dual core inverses of morphisms with kernels
Tingting Li, Jianlong Chen, Mengmeng Zhou +1
Let be an additive category with an involution . Suppose that is a morphism with kernel in , then is…
The core and dual core inverse of a morphism with factorization
Tingting Li, Jianlong Chen
Let be a category with an involution . Suppose that is a morphism and is an (epic, monic) factorization of through ,…
Three limit representations of the core-EP inverse
Mengmeng Zhou, Jianlong Chen, Tingting Li +1
In this paper, we present three limit representations of the core-EP inverse. The first approach is based on the full-rank decomposition of a given matrix. The second and third app…
Core and Dual Core Inverses of a Sum of Morphisms
Tingting Li, Jianlong Chen, Sanzhang Xu
Let be an additive category with an involution . Suppose that is a morphism of with core inverse $φ^{\co} : X \rightarrow X$…
Characterizations of core and dual core inverses in rings with involution
Tingting Li, Jianlong Chen
Let R be a unital ring with involution, we give the characterizations and representations of the core and dual core inverses of an element in R by Hermitian elements (or projection…