ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, vol.52, no.1, pp.15-27, 2022 (SCI-Expanded)
The minus order on sets of matrices over a field and bounded linear operators on arbitrary Hilbert spaces has been an area of intense research. Recently, this partial order has been studied on regular modules by the present authors. We investigate lattice properties of the minus order on regular modules and present various characterizations of the minus order as an application.