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Original Articles

n-complete algebras and McKay quivers

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Pages 5014-5024 | Received 23 Dec 2015, Published online: 28 Apr 2017

References

  • Assem, I., Simson, D., Skowronski, A. (2006). Element of the Representation Theorey of Associative Algebras. Volume 1 Techniques of Represention Theorey. Cambridge: Cambridge University Press.
  • Anderson, F. W., Fuller, K. R. (1973). Rings and Categories of Modules, Graduate Texts in Mathematics, Vol. 13. New York, Heidelberg, Berlin: Springer-Verlag (new edition 1991).
  • Fossum, R. M., Griffith, P. A., Reiten, I. (1975). Trivial Extensions of Abelian Categories. Lect. Notes in Math., Vol. 456. Berlin-Heidelberg-New York: Springer-Verlag.
  • Guo, J. Y. (2012). Coverings and truncations of graded self-injective algebras. J. Algebra 355(1):9–34.
  • Guo, J. Y. (2013). McKay quivers and absolute n-complete algebras. Sci. China Mathematics 56:1607–1618.
  • Guo, J. Y., Matínez-Villa, R. (2002). Algebras pairs associated to McKay quivers. Commun. Algebra 30(2):1017–1032.
  • Guo, J. Y. (2016). On n-translation algebras. J. Algebra 453:400–428.
  • Guo, J. Y., Yin, Y., Zhu, C. (2014). Returning arrows for self-injective algebras and Artin-Schelter regular algebras. J. Algebra 397:365–378.
  • Guo, J. Y. (2011). On McKay quiver and covering space (in Chinese). Sci. China Ser. 41(5):393–402.
  • Iyama, O. (2007). Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories. Adv. Math. 210:22–50.
  • Iwanaga, Y., Wakamstu, T. (1980). Trivial Extention of Artin Algebra. LNM, Vol. 832. Berlin-Heidelberg-NewYork: Springer-Verlag, pp. 3295–301.
  • Iyama, O. (2011). Cluster tilting for higher Auslander algebras. Adv. Math. 226:1–61.
  • Montgomery, S., Passman, D. S. (1988). Algebraic analogs of the Connes spectrum. J. Algebra 115(1):92–124.
  • Passman, D. S. (1986). Group Rings, Crossed Products and Galois Theory. CBMS Regional Conference Series in Mathematics, Vol. 64. Providence: AMS.
  • Skowronski, A. Yamagata (2011). Frobenius Algebras I: Basic Representation Theory. EMS Textbk. Math. Zurich: European Mathematical Society.
  • Martinez-Villa, R. (2007). Introduction to Koszul algebras. Rev. Un. Mat. Argentina 48:67–95.
  • Zheng, L. J. (2014). Twisted trivial extension and representation dimention. Adv. Math. (China) (in Chinese) 4:512–520.

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