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 Mat. Zametki, 2017, Volume 101, Issue 4, paper published in the English version journal (Mi mz10714)

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

Abstract: In this paper, we investigate the homological properties of the functor categories $(mod{-}R, Ab)$ and $((mod-R)^{op}, Ab)$. 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).

English version:
Mathematical Notes, 2017, 101:4, 631–644

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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/mz10714} \crossref{https://doi.org/10.1134/S000143461703021X} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3646054} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000401454600021} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85018816921}