Email this article On homological dimensions in some functor categories
- Authors: Mao L.X.1
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Affiliations:
- Nanjing Institute of Technology
- Issue: Vol 101, No 3-4 (2017)
- Pages: 631-644
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150021
- DOI: https://doi.org/10.1134/S000143461703021X
- ID: 150021
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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.
About the authors
L. X. Mao
Nanjing Institute of Technology
Author for correspondence.
Email: maolx2@hotmail.com
China, Nanjing
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