LATTICE PROPERTIES OF THE MINUS ORDER ON REGULAR MODULES

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

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, cilt.52, sa.1, ss.15-27, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 52 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1216/rmj.2022.52.15
  • Dergi Adı: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Sayfa Sayıları: ss.15-27
  • Anahtar Kelimeler: minus order, plus order, regular module
  • Ankara Üniversitesi Adresli: Evet

Özet

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.