Turkish Journal of Mathematics
Author ORCID Identifier
TUĞBA PAKEL: 0009-0005-8039-7080
BURCU ÜNGÖR: 0000-0001-7659-9185
HANDAN KÖSE: 0000-0002-0741-6848
SAİT HALICIOĞLU: 0000-0003-0792-1868
ABDULLAH HARMANCI: 0000-0001-5691-933X
Abstract
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.
DOI
10.55730/1300-0098.3658
Keywords
(b, c)-inverse, group inverse, outer inverse, inner regular support, outer regular support, dual module
First Page
390
Last Page
406
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
PAKEL, T, ÜNGÖR, B, KÖSE, H, HALICIOĞLU, S, & HARMANCI, A (2026). A module theoretic approach to (b,c)-invertibility. Turkish Journal of Mathematics 50 (3): 390-406. https://doi.org/10.55730/1300-0098.3658
