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Original Articles

Foxby equivalences associated to Gorenstein categories ๐’ข(๐’ณ,๐’ด,๐’ต)

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Pages 4042-4051 | Received 18 Mar 2017, Published online: 19 Mar 2018

References

  • Auslander, M., Bridger, M. (1969). Stable Module Theory. Mem. Amer. Math. Soc. 94, American Mathematical Society, Providence, R.I.
  • Bennis, D., Ouarghi, K. (2010). ๐’ณ-Gorenstein projective modules. Int. Math. Forum 5:487โ€“491.
  • Bravo, D., Gillespie, J. (2016). Absolutely clean, level, and Gorenstein AC-injective complexes. Commun. Algebra 44:2213โ€“2233.
  • Bravo, D., Gillespie, J., Hovey, M. The stable module category of a general ring. http://arxiv.org/abs/1405.5768.
  • Di, Z. X., Liu, Z. K., Chen, J. L. (2015). Stability of Gorenstein flat categories with respect to a semidualizing module. Rocky Mountain J. Math. 45:1839โ€“1859.
  • Ding, N. Q., Li, Y. L., Mao, L. X. (2009). Strongly Gorenstein flat modules. J. Aust. Math. Soc. 86:323โ€“338.
  • Enochs, E. E., Jenda, O. M. G. (1995). Gorenstein injective and projective modules. Math. Z. 220:611โ€“633.
  • Enochs, E. E., Jenda, O. M. G. (2000). Relative Homological Algebra. Berlin-New York: Walter de Gruyter.
  • Enochs, E. E., Yassemi, S. (2004). Foxby equivalence and cotorsion theories relative to semidualizing modules. Math. Scand. 95:33โ€“43.
  • Geng, Y. X., Ding, N. Q. (2011). ๐’ฒ-Gorenstein modules. J. Algebra 325:132โ€“146.
  • Holm, H. (2004). Gorenstein homological dimensions. J. Pure Appl. Algebra 189:167โ€“193.
  • Holm, H., White, D. (2007). Foxby equivalence over associative rings. J. Math. Kyoto Univ. 47:781โ€“808.
  • Hu, J. S., Geng, Y. X. (2016). Relative tor functors for Level modules with respect to a semidualizing bimodule. Algebra Represent. Theory 19:579โ€“597.
  • Liu, Z. F., Huang, Z. Y., Xu, A. M. (2013). Gorenstein projective dimension relative to a semidualizing bimodule. Comm. Algebra 41:1โ€“18.
  • Mao, L. X., Ding, N. Q. (2008). Gorenstein FP-injective and Gorenstein flat modules. J. Algebra Appl. 7:491โ€“506.
  • Meng, F. Y., Pan, Q. X. (2011). ๐’ณ-Gorenstein projective and ๐’ด-Gorenstein injective modules. Hacet. J. Math. Stat. 40:537โ€“554.
  • Sather-Wagstaff, S., Sharif, T., White, D. (2008). Stability of Gorenstein categories. J. Lond. Math. Soc. 77:481โ€“502.
  • Yang, G., Liu, Z. K., Liang, L. (2013). Ding projective and Ding injective modules. Algebra Colloq. 20:601โ€“612.
  • Yang, X. Y. (2015). Gorenstein categories ๐’ข(๐’ณ,๐’ด,๐’ต) and dimensions. Rocky Mountain J. Math. 45:2043โ€“2064.
  • Zhang, C. X., Wang, L. M., Liu, Z. K. (2015). Ding projective modules with respect to a semidualizing bimodule. Rocky Mountain J. Math. 45:1389โ€“1411.

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