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Matematicheskie Zametki, 2017, Volume 101, Issue 4, paper published in the English version journal (Mi mzm10714)  
This article is cited in 1 scientific paper (total in 1 paper)

Papers published in the English version of the journal

On Homological Dimensions in Some Functor Categories

L. X. Mao

Nanjing Institute of Technology, Nanjing, China
Citations (1)
Abstract: In this paper, we investigate the homological properties of the functor categories $(\text{mod}{-}R, \text{Ab})$ and $((\text{mod}-R)^{\text{op}}, \text{Ab})$. Some new homological dimensions in these functor categories such as $FP$-projecive dimensions and cotorsion dimensions for functors and functor categories are introduced and studied. We also characterize functor categories of homological dimensions zero and explore the connections among some different homological dimensions.
Keywords: $FP$-projecive dimension, $FP$-injective dimension, cotorsion dimension, global dimension, weak global dimension.
Funding agency Grant number
Natural Science Foundation of Jiangsu Province BK20160771
National Natural Science Foundation of China 11371187
This work was supported by NSFC (No. 11371187) and NSF of Jiangsu Province of China (No. BK20160771).
Received: 11.12.2013
English version:
Mathematical Notes, 2017, Volume 101, Issue 4, Pages 631–644
DOI: https://doi.org/10.1134/S000143461703021X
Bibliographic databases:
Document Type: Article
Language: English
Citation: L. X. Mao, “On Homological Dimensions in Some Functor Categories”, Math. Notes, 101:4 (2017), 631–644
Citation in format AMSBIB
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\by L.~X.~Mao
\paper On Homological Dimensions in Some Functor Categories
\jour Math. Notes
\yr 2017
\vol 101
\issue 4
\pages 631--644
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\crossref{https://doi.org/10.1134/S000143461703021X}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85018816921}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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