Flat relative mittag-leffler modules and approximations

The classes [Formula: see text] of flat relative Mittag-Leffler modules are sandwiched between the class all (absolute) modules, and modules. Building on works Angeleri Hügel, Herbera, Šaroch, we give a characterization in terms their local structure, show that Enochs’ Conjecture holds for text]. In final section, apply these results to particular setting text]-projective