Abstract
In this paper, we develop relative homological algebra in the category of functors from finitely presented modules to Abelian groups. More specifically, we introduce the concepts of \(\mathfrak{F}\)-injective, \(\mathfrak{F}\)-projective and \(\mathfrak{F}\)-flat functors. Such functors appear when we study covers and envelopes of functors. The relationships among these functors are investigated and some applications are given.
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Published in Russian in Matematicheskie Zametki, 2014, Vol. 95, No. 1, pp. 93–108.
The text was submitted by the author in English.
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Mao, L. Notes on several orthogonal classes of flat and FP-injective functors. Math Notes 95, 78–90 (2014). https://doi.org/10.1134/S0001434614010088
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DOI: https://doi.org/10.1134/S0001434614010088