A module theoretic approach to (b, c)-invertibility

PAKEL T., ÜNGÖR B., KÖSE H., HALICIOĞLU S., Harmanci A.

TURKISH JOURNAL OF MATHEMATICS, cilt.50, sa.3, ss.390-406, 2026 (SCI-Expanded, Scopus, TRDizin) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50 Sayı: 3
  • Basım Tarihi: 2026
  • Doi Numarası: 10.55730/1300-0098.3658
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, TR DİZİN (ULAKBİM), Academic Search Ultimate (EBSCO)
  • Sayfa Sayıları: ss.390-406
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we introduce and investigate the concept of an (r, f)-inverse in the context of modules, drawing inspiration from the (b, c)-inverse, which is the analogous notion in ring theory. We demonstrate the uniqueness of (r, f)-inverses in modules whenever they exist. We provide some necessary and sufficient conditions for the existence of (r, f)-inverses in modules.