4 papers · 1 filter
On the -inverse of a sum with a radical element in a ring
Yukun Zhou, Nestor Thome
Let be a ring with identity and be its Jacobson radical. Assume that is -invertible and . This paper provides necessary and sufficie…
Simultaneous extension of generalized BT-inverses and core-EP inverses
Abdessalam Kara, Néstor Thome, Dragan S. Djordjevi'c
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…
Lattice properties of the sharp partial order
Cecilia R. Cimadamore, Laura A. Rueda, Néstor Thome +1
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 under…
On diamond partial order, one-sided star partial orders, and 1MP-inverses
MarÃa Valeria Hernández, Marina B. Lattanzi, Néstor Thome
This paper provides some new characterizations of the diamond partial order for rectangular matrices by using properties of inner inverses, minus order, and SVD decompositions. In…