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Mathematics
Article . 2020 . Peer-reviewed
License: CC BY
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Mathematics
Article
License: CC BY
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Mathematics
Article . 2020
Data sources: DOAJ
https://dx.doi.org/10.3390/mat...
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Multidisciplinary Digital Publishing Institute
Other literature type . 2020
License: CC BY
Data sources: Multidisciplinary Digital Publishing Institute
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Finitistic Homological Dimensions Relative to Subcategories

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 15 Dec 2020 English Publisher:MDPI AGJournal:Mathematics, volume 8, page 2,228 (eissn: 2227-7390, Copyright policy )
Authors: Yuntao Huang; Xia Wu; Weiling Song;

doi: 10.3390/math8122228

Finitistic Homological Dimensions Relative to Subcategories

Abstract

Let C⊆T be subcategories of an abelian category A. Under some certain conditions, we show that the C-finitistic and T-finitistic global dimensions of A are identical. Some applications are given; in particular, some known results are obtained as corollaries.

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Keywords

semidualizing bimodules, bass classes, relative finitistic dimensions, C-Gorenstein modules, auslander classes, QA1-939, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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