N. Thome

activity

20242026

collaborators

4 papers

math.RA2026

On the $(b, c)$ -inverse of a sum with a radical element in a ring

Yukun Zhou, Nestor Thome

Let $R$ be a ring with identity and $J (R)$ be its Jacobson radical. Assume that $a \in R$ is $(b, c)$ -invertible and $j_{a}, j_{b}, j_{c} \in J (R)$ . This paper provides necessary and sufficie…

math.FA2025

Solvability of The Operator Equations $A X - X B = C$ and $A X - Y B = C$

Farida Lombarkia, Assia Bezai, NÃ©stor Thome

This paper provides new necessary and sufficient conditions for the solvability to the operator equations $A X - X B = C$ and $A X - Y B = C,$ where $A$ and $B$ are group invertible operato…

math.RA2025

Simultaneous extension of generalized BT-inverses and core-EP inverses

In this paper we introduce the generalized inverse of complex square matrix with respect to other matrix having same size. Some of its representations, properties and characterizat…

math.RA2024

Lattice properties of the sharp partial order

The aim of this paper is to study lattice properties of the sharp partial order for complex matrices having index at most 1. We investigate the down-set of a fixed matrix $B$ under…

On the (b,c)-inverse of a sum with a radical element in a ring

Solvability of The Operator Equations AX−XB=C and AX−YB=C

Simultaneous extension of generalized BT-inverses and core-EP inverses

Lattice properties of the sharp partial order

On the $(b, c)$ -inverse of a sum with a radical element in a ring

Solvability of The Operator Equations $A X - X B = C$ and $A X - Y B = C$