Notes on several orthogonal classes of flat and FP-injective functors
L Mao - Mathematical Notes, 2014 - Springer
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
F-injective, F-projective and 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.
finitely presented modules to Abelian groups. More specifically, we introduce the concepts of
F-injective, F-projective and 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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