LATTICE PROPERTIES OF THE MINUS ORDER ON REGULAR MODULES

Argun S. R., ÇALCI T., HALICIOĞLU S., Harmanci A., ÜNGÖR B.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, vol.52, no.1, pp.15-27, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 52 Issue: 1
  • Publication Date: 2022
  • Doi Number: 10.1216/rmj.2022.52.15
  • Journal Name: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Page Numbers: pp.15-27
  • Keywords: minus order, plus order, regular module
  • Hacettepe University Affiliated: Yes

Abstract

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.