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Articles

Isomorphism problem and homological properties of DG-free algebras

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Pages 4031-4060 | Received 01 May 2018, Accepted 14 Jan 2019, Published online: 29 Mar 2019

References

  • Felix, Y., Halperin, S., Thomas, J. C. (1988). Gorenstein spaces. Adv. Math. 71: 92–112. DOI: 10.1016/0001-8708(88)90067-9.
  • Frankild, A., Iyengar, S., Jørgensen, P. (2003). Dualizing differential graded modules and gorenstein differential graded algebras. J. Lond. Math. Soc. 68(2): 288–306. DOI: 10.1112/S0024610703004496.
  • Felix, Y., Murillo, A., (1998). Gorenstein graded algebras and the evaluation map. Can. Math. Bull. 41: 28–32. DOI: 10.4153/CMB-1998-006-2.
  • Gammelin, H. (1999). Gorenstein space with nonzero evaluation map. Trans. Am. Math. Soc. 351(8): 3433–3440. DOI: 10.1090/S0002-9947-99-02092-9.
  • Ginzberg, V. Calabi-Yau algebra. arxiv: math. AG/0612.139 v3.
  • He, J.-W., Mao, X.-F. (2016). Connected cochain DG algebras of Calabi-Yau dimension 0. Proc. Amer. Math. Soc. 145(3): 937–953. DOI: 10.1090/proc/13081.
  • He, J.-W., Wu, Q.-S. (2008). Koszul differential graded algebras and BGG correspondence. J. Algebra 320(7): 2934–2962. DOI: 10.1016/j.jalgebra.2008.06.021.
  • Mao, X.-F. (2011). DG algebra structures on as-regular algebras of dimension 2. Sci. China Math. 54(10): 2235–2248. DOI: 10.1007/s11425-011-4256-z.
  • Mao, X.-F., Gao, X.-D., Yang, Y.-N., Chen, J.-H. DG polynomial algebras and their homological properties. Sci. China Math.
  • Mao, X.-F., He, J.-W. (2017). A special class of koszul Calabi-Yau DG algebras. Acta Math. Sinica 60: 475–504.
  • Mao, X.-F., He, J.-W., Liu, M., Xie, J.-F. (2018). Calabi-Yau properties of non-trivial noetherian DG down-up algebras. J. Algebra Appl. 17(05): 1850090–1850045.
  • Mao, X.-F., Wu, Q.-S. (2008). Homological invariants for connected DG algebra. Comm. Algebra 36(8): 3050–3072. DOI: 10.1080/00927870802110870.
  • Mao, X.-F., Wu, Q.-S. (2009). Compact DG modules and gorenstein DG algebra. Sci. China Ser. A. 52: 711–740.
  • Mao, X.-F., Wu, Q.-S. (2011). Cone length for DG modules and global dimension of DG algebras. Commun. Algebra 39(5): 1536–1562. DOI: 10.1080/00927871003591876.
  • Shklyarov, D. On serre duality for compact homologically smooth DG algebras. arxiv: math. RA/0702590 v1.
  • Van den Bergh, M. (2015). Calabi-Yau algebras and superpotentials. Sel. Math. New. Ser. 21(2): 555–603. DOI: 10.1007/s00029-014-0166-6.

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