0
Views
0
CrossRef citations to date
0
Altmetric
Research Article

Gorenstein derived functors for extriangulated categories

ORCID Icon
Received 26 Dec 2023, Accepted 24 Jul 2024, Published online: 10 Aug 2024

References

  • Asadollahi, J., Salarian, Sh. (2004). Gorenstein objects in triangulated categories. J. Algebra 281:264–286. DOI: 10.1016/j.jalgebra.2004.07.027.
  • Beligiannis, A. (2000). Relative homological algebra and purity in triangulated categories. J. Algebra 227(1):268–361. DOI: 10.1006/jabr.1999.8237.
  • Enochs, E. E., Jenda, O. M. G. (1985). Balanced functors applied to modules. J. Algebra 92:303–310. DOI: 10.1016/0021-8693(85)90122-X.
  • Chang, W., Zhou, P., Zhu, B. (2019). Cluster subalgebras and cotorsion pairs in Frobenius extriangulated categories. Algebras Represent. Theory 22:1051–1081. DOI: 10.1007/s10468-018-9811-7.
  • Enochs, E. E., Jenda, O. M. G. (2011). Relative Homological Algebra. De Gruyter Expositions in Mathematics. vol. 30. Berlin: Walter de Gruyter GmbH & Co. KG.
  • He, Z. Gorenstein objects in extriangulated categories. arXiv:2011.14552.
  • Holm, H. (2004). Gorenstein dervied functors. Proc. Amer. Math. Soc. 132:1913–1923. DOI: 10.1090/S0002-9939-04-07317-4.
  • Hu, J., Zhang, D., Zhou, P. (2020). Proper classes and Gorensteinness in extriangulated categories. J. Algebra 551:23–60. DOI: 10.1016/j.jalgebra.2019.12.028.
  • Hu, J., Zhang, D., Zhou, P. (2021). Gorenstein homological dimensions for extriangulated categories. Bull. Malaysian Math. Sci. Soc. 44(4):2235–2252. DOI: 10.1007/s40840-020-01057-9.
  • Hu, J., Zhang, D., Zhao, T., Zhou, P. Balance of complete cohomology in extriangulated categories. arXiv:2004.13711v1.
  • Liu, Y., Nakaoka, H. (2019). Hearts of twin cotorsion pairs on extriangulated categories. J. Algebra 528:96–149. DOI: 10.1016/j.jalgebra.2019.03.005.
  • Nakaoka, H., Palu, Y. (2019). Extriangulated categories, Hovey twin cotorsion pairs and model structures. Cahiers de Topologie et Differentielle Cateoriques LX-2:117–193.
  • Nakaoka, H., Ogawa, Y., Sakai, A. (2022). Localization of extriangulated categories. J. Algebra 611:341–398. DOI: 10.1016/j.jalgebra.2022.08.008.
  • Ren, W., Liu, Z. (2014). Gorenstein homological dimensions for triangulated categories. J. Algebra 410:258–276. DOI: 10.1016/j.jalgebra.2014.03.037.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.