Properties of core-EP order in rings with involution

Dolinar G., Kuzma B., Marovt J., ÜNGÖR B.

FRONTIERS OF MATHEMATICS IN CHINA, cilt.14, sa.4, ss.715-736, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 4
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s11464-019-0782-8
  • Dergi Adı: FRONTIERS OF MATHEMATICS IN CHINA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.715-736
  • Anahtar Kelimeler: Drazin inverse, core-EP decomposition, pre-order, ring, INVERSES
  • Ankara Üniversitesi Adresli: Evet

Özet

We study properties of a relation in *-rings, called the core-EP (pre)order which was introduced by H. Wang on the set of all n x n complex matrices [Linear Algebra Appl., 2016, 508: 289-300] and has been recently generalized by Y. Gao, J. Chen, and Y. Ke to *-rings [Filomat, 2018, 32: 3073-3085]. We present new characterizations of the core-EP order in *-rings with identity and introduce the notions of the dual core-EP decomposition and the dual core-EP order in *-rings.