Abdoulaye Mane et al.trans. 2025. Completed Functor S-1() of the Localization Functor S-1(), Isomorphism and Adjunction. Indian Journal of Advanced Mathematics (IJAM). 5, 2 (Oct. 2025), 27–35. DOI:https://doi.org/10.54105/ijam.B1214.05021025.