Flat relative Mittag-Leffler modules and approximations

Asmae Ben Yassine; Jan Trlifaj

doi:10.1142/s0219498824502190

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arXiv · 2110.06792

Flat relative Mittag-Leffler modules and approximations

Asmae Ben Yassine·Jan Trlifaj

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Abstract

The classes $\mathcal D _{\mathcal Q}$ of flat relative Mittag-Leffler modules are sandwiched between the class $\mathcal F \mathcal M$ of all flat (absolute) Mittag-Leffler modules, and the class $\mathcal F$ of all flat modules. Building on the works of Angeleri H\" ugel, Herbera, and \v Saroch, we give a characterization of flat relative Mittag-Leffler modules in terms of their local structure, and show that Enochs' Conjecture holds for all the classes $\mathcal D _{\mathcal Q}$. In the final section, we apply these results to the particular setting of f-projective modules.

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BibTeX RIS

Asmae Ben Yassine, Jan Trlifaj. 2021-10-13. Flat relative Mittag-Leffler modules and approximations. https://doi.org/10.1142/s0219498824502190

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