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Resolving subcategories of triangulated categories and relative homological dimension

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Abstract

We introduce and study (pre)resolving subcategories of a triangulated category and the homological dimension relative to these subcategories. We apply the obtained properties to relative Gorenstein categories.

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Acknowledgements

The authors would like to thank the referees for the useful suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Nanjing University, Nanjing, 210093, P. R. China

    Xin Ma, Ti Wei Zhao & Zhao Yong Huang

Authors
  1. Xin Ma
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  2. Ti Wei Zhao
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  3. Zhao Yong Huang
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Corresponding author

Correspondence to Zhao Yong Huang.

Additional information

Supported by the National Natural Science Foundation of China (Grant No. 11571164), a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions, Postgraduate Research and Practice Innovation Program of Jiangsu Province (Grant No. KYZZ16 0034), Nanjing University Innovation and Creative Program for PhD candidate (Grant No. 2016011)

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Ma, X., Zhao, T.W. & Huang, Z.Y. Resolving subcategories of triangulated categories and relative homological dimension. Acta. Math. Sin.-English Ser. 33, 1513–1535 (2017). https://doi.org/10.1007/s10114-017-6416-8

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  • DOI: https://doi.org/10.1007/s10114-017-6416-8

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