A module theoretic approach to (b,c)-invertibility
Turkish Journal of Mathematics, cilt.50, sa.3, ss.390-406, 2026 (SCI-Expanded, Scopus, TRDizin)
- 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
- Anahtar Kelimeler: (b,c)-inverse, dual module, group inverse, inner regular support, outer inverse, outer regular support
- Hacettepe 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.