Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
\Bibitem{Lix17}
\by L.~X.~Mao
\paper On Homological Dimensions in Some Functor Categories
\jour Math. Notes
\yr 2017
\vol 101
\issue 4
\pages 631--644
\mathnet{http://mi.mathnet.ru/mzm10714}
\crossref{https://doi.org/10.1134/S000143461703021X}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3646054}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000401454600021}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85018816921}
Linking options:
  • https://www.mathnet.ru/eng/mzm10714
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:158
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024