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Matematicheskie Zametki, 2014, Volume 95, Issue 1, Pages 93–108
DOI: https://doi.org/10.4213/mzm10410 (Mi mzm10410) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Notes on Several Orthogonal Classes of Flat and $FP$-injective Functors

Lixin Mao

Institute of Mathematics, Nanjing Institute of Technology
Full-text PDF (525 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm10410
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.
Keywords: $\mathfrak{F}$-injective functor, $\mathfrak{F}$-projective functor, $\mathfrak{F}$-flat functor, $FP$-injective functor, flat functor, (pre)envelope, (pre)cover.
Received: 09.06.2011
Revised: 03.11.2011
English version:
Mathematical Notes, 2014, Volume 95, Issue 1, Pages 78–90
DOI: https://doi.org/10.1134/S0001434614010088
Bibliographic databases:
Document Type: Article
UDC: 512.6
Language: Russian
Citation: Lixin Mao, “Notes on Several Orthogonal Classes of Flat and $FP$-injective Functors”, Mat. Zametki, 95:1 (2014), 93–108; Math. Notes, 95:1 (2014), 78–90
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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