On properties of the minus partial order in regular modules

ÜNGÖR B., HALICIOĞLU S., Harmanci A., Marovt J.

PUBLICATIONES MATHEMATICAE-DEBRECEN, cilt.96, sa.1-2, ss.149-159, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 96 Sayı: 1-2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.5486/pmd.2020.8634
  • Dergi Adı: PUBLICATIONES MATHEMATICAE-DEBRECEN
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Sayfa Sayıları: ss.149-159
  • Anahtar Kelimeler: minus partial order, regular module, Rickart *-ring, Hilbert space
  • Ankara Üniversitesi Adresli: Evet

Özet

We investigate properties of the minus partial order in regular modules, present new characterizations of this order, and generalize some known results. We introduce a new relation in the general module theoretic setting that is analogous to the space pre-order on complex matrices and study how it is related to the minus partial order.