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Remarks on f p-Injective and f p-Flat Modules

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Abstract

A left R-module M is said to be f p-injective if, for every monomorphism K → L with K and L finitely presented left R-modules, Hom(L, M) → Hom(K, M) is an epimorphism. A right R-module N is called f p-flat if, for every monomorphism K → L with K and L finitely presented left R-modules, \({N\otimes K\rightarrow N\otimes L}\) is a monomorphism. In this note, we study precovers and preenvelopes by f p-injective and f p-flat modules, including their properties under (almost) excellent extensions of rings. In addition, we also introduce and investigate f p-projective modules.

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  1. Institute of Mathematics, Nanjing Institute of Technology, Nanjing, 211167, People’s Republic of China

    Lixin Mao

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  1. Lixin Mao
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Mao, L. Remarks on f p-Injective and f p-Flat Modules. Arab J Sci Eng 36, 1013–1022 (2011). https://doi.org/10.1007/s13369-011-0050-z

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