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Research Articles

Invariants along the recollements of Gorenstein derived categories

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Pages 2422-2429 | Received 21 Jul 2023, Accepted 04 Dec 2023, Published online: 19 Jan 2024

References

  • Beligiannis, A. (2005). Cohen-Macauley modules, (co)torsion pairs, and virtually Gorenstein algebras. J. Algebra 288:137–211. DOI: 10.1016/j.jalgebra.2005.02.022.
  • Beilinson, A., Bernstein, J., Deligne, P. (1982). Faisceaux Pervers. Luminy: Soc Math France.
  • Beilinson, A., Ginsburg, V., Schechtman, V. (1988). Koszul duality. J. Geom. Phys. 5(3):317–350. DOI: 10.1016/0393-0440(88)90028-9.
  • Beligiannis, A., Reiten, I. (2007). Homological and homotopical aspects of torsion theories. Mem. A mer. Math. Soc. 188(883):viii + 207 pp. DOI: 10.1090/memo/0883.
  • Gao, N. (2017). Gorensteinness, homological invariants and Gorenstein derived categories. Sci. Math. 60(3): 431–438.
  • Gao, N., Zhang, P. (2010). Gorenstein derived categories. J. Algebra 323:2041–2057. DOI: 10.1016/j.jalgebra.2010.01.027.
  • Hu, W., Pan, S. Y. (2017). Stable functors of derived equivalences and Gorenstein projective modules. Math. Nachr. 290:1512–1530. DOI: 10.1002/mana.201600179.
  • Enochs, E. E., Jenda, O. M. G. (1995). Gorenstein injective and projective modules. Math. Z. 220:611–633. DOI: 10.1007/BF02572634.
  • Enochs, E. E., Jenda, O. M. G. (2000). Relative Homological Algebra, De Gruyter Expositions in Mathematics, col. 30. Berlin: Walter de Gruyter and Co.
  • Happel, D. (1991). On Gorenstein algebras. In: Representation Theory of Finite Groups and Finite-Dimensional Algebras, Progress in Mathematics, vol. 95. Basel: Birkhäuser, 389–404.
  • Rickard, J. (1991). Derived equivalences as derived functors. J. London Math. Soc. 43:37–48. DOI: 10.1112/jlms/s2-43.1.37.

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