2 papers
math.RA2026
New partial orders on Rickart *-rings
Cecilia Rossana Cimadamore, Laura Alicia Rueda, Melina Vanina Verdecchia
In this paper, we define and study partial orders on a Rickart *-ring obtained by imposing an additional condition on the star and the one-sided star partial orders. For each such…
math.RA2024
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…