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Articles

Triangle equivalences involving Gorenstein FP-injective modules

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Pages 4844-4858 | Received 25 Mar 2016, Published online: 19 Sep 2018

References

  • Asadollahi, J., Salarian, S. (2006). Gorenstein injective dimension for complexes and Iwanaga–Gorenstein rings. Commun. Algebra 34:3009–3022.
  • Beligiannis, A. (2000). The homological theory of contravariantly finite subcategories: Auslander–Buchweitz contexts, Gorenstein categories and (co)stabilization. Commun. Algebra 28:4547–4596.
  • Beligiannis, A. (2001). Homotopy theory of modules and Gorenstein rings. Math. Scand. 89:5–45.
  • Beligiannis, A. (2005). Cohen–Macaulay modules, (co)torsion pairs and virtually Gorenstein algebras. J. Algebra 288:137–211.
  • Bennis, D., Mahdou, N. (2010). Global Gorenstein dimensions. Proc. Am. Math. Soc. 138:461–465.
  • Buchweitz, R. O. (1987). Maximal Cohen–Macaulay modules and tate cohomology over Gorenstein rings. Unpublished Manuscript, 155 pp. Available at https://tspace.library.utoronto.ca/handle/1807/16682.
  • Chen, X. W. (2011). Relative singularity categories and Gorenstein-projective modules. Math. Nachr. 284:199–212.
  • Christensen, L. W. (2000). Gorenstein Dimensions. Lecture Notes in Mathematics. Berlin: Springer-Verlag.
  • Enochs, E. E., Jenda, O. M. G. (1995). Gorenstein injective and projective modules. Math. Z. 220:611–633.
  • Enochs, E. E., Jenda, O. M. G. (2000). Relative Homological Algebra, Vol. 30. de Gruyter, Berlin: de Gruyter Exp. Math.
  • Gelfand, S. I., Manin, Y. I. (2003). Methods of Homological Algebra, 2nd ed. Springer Monographs in Mathematics. Berlin: Springer-Verlag.
  • Gillespie, J. (2004). The flat model structure on Ch(R). Trans. Am. Math. Soc. 356:3369–3390.
  • Happel, D. (1988). Triangulated Categories in the Representation Theory of Finite-dimensional Algebras. London Mathematical Society Lecture Note Series 119. Cambridge: Cambridge University Press.
  • Happel, D. (1991). On Gorenstein Algebras, Progress in Mathematics, Vol. 95. Basel: Birkhäuser Verlag, pp. 389–404.
  • Holm, H. (2004). Gorenstein homological dimensions. J. Pure Appl. Algebra 189:167–193.
  • Hu, J. S., Geng, Y. X., Xie, Z. W., Zhang, D. D. (2015). Gorenstein FP-injective dimension for complexes. Commun. Algebra 43:3515–3533.
  • Hu, J. S., Zhang, D. D. (2013). Weak AB-context for FP-injective modules with respect to semidualizing modules. J. Algebra Appl. 12:1350039.
  • Gillespie, J. (2016). Hereditary abelian model categories. Bull. London. Math. Soc. 48:895–922.
  • Keller, B. (1996). Derived Categories and Their Uses. Handbook of Algebra, Vol. 1. Amsterdam: North-Holland, pp. 671–701.
  • Mao, L., Ding, N. (2005). FP-projective dimensions. Commun. Algebra 33:1153–1170.
  • Mahdou, N., Tamekkante, M. (2011). On (strongly)Gorenstein (semi)hereditary rings. Mediterr. J. Math. 8:293–305.
  • Orlov, D. (2004). Triangulated categories of singularities and D-branes in Landau–Ginzburg models. Proc. Steklov Inst. Math. 246:227–248.
  • Rickard, J. (1989). Derived categories and stable equivalence. J. Pure Appl. Algebra 61:303–317.
  • Sather-Wagstaff, S., Sharif, T., White, D. (2008). Stability of Gorenstein categories. J. London. Math. Soc. 77:481–502.
  • Stentröm, B. (1970). Coherent rings and FP-injective modules. J. London Math. Soc. 2:323–329.
  • Veliche, O. (2006). Gorenstein projective dimension for complexes. Trans. Am. Math. Soc. 358:1257–1283.

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