125
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

The ordinary quivers of Hochschild extension algebras for self-injective Nakayama algebras

, &
Pages 3950-3964 | Received 30 Sep 2016, Published online: 26 Feb 2018

References

  • Ames, G., Cagliero L, ., Tirao, P. (2009). Comparison morphisms and the Hochschild cohomology ring of truncated quiver algebras. J. Algebra 322(5):1466–1497.
  • Assem, I., Simson D, ., Skowroński, A. (2006). Elements of the Representation Theory of Associative Algebras I. London Math. Soc. Student Texts, vol. 65. Cambridge: Cambridge Univ. Press.
  • Bardzell, M., Locateli, A., Marcos, E. (2000). On the Hochschild cohomology of truncated cycle algebras. Commun. Algebra 28(3):1615–1639.
  • Cibils, C. (1989). Cohomology of incidence algebras and simplicial complexes. J. Pure Appl. Algebra 56:221–232.
  • Erdmann, K., Holm, T. (1999). Twisted bimodules and Hochschild cohomology for self-injective algebras of class An. Forum Math. 11:177–201.
  • Fernández, E., Platzeck, M. (2002). Presentations of trivial extensions of finite dimensional algebras and a theorem of Sheila Brenner. J. Algebra 249:326–344.
  • Hochschild, G. (1945). On the cohomology groups of an associative algebra. Ann. Math. (2) 46:58–67.
  • Itagaki, T., Sanada, K. (2014). The dimension formula of the cyclic homology of truncated quiver algebras over a field of positive characteristic. J. Algebra 404:200–221.
  • Ohnuki, Y. (2002). Stable equivalence induced by a socle equivalence. Osaka J. 39(1):259–266.
  • Ohnuki, Y., Takeda, K., Yamagata, K. (1999). Symmetric Hochschild extension algebras. Colloq. Math. 80:155–174.
  • Sköldberg, E. (1999). The Hochschild homology of truncated and quadratic monomial algebra. J. Lond. Math. Soc. (2) 59:76–86.
  • Skowroński, A., Yamagata, K. (2011). Frobenius Algebras I: Basic Representation Theory. EMS Textbooks Math. Zürich: Eur. Math. Soc.
  • Volčič, J. (2015). Cyclic homology of truncated quiver algebras. J. Pure Appl. Algebra 219(1):33–46.
  • Yamagata, K. (1988). Representations of non-splittable extension algebras. J. Algebra 115:32–45.
  • Yamagata, K. (1996). Frobenius algebras. In: Handbook of Algebra Vol. 1. Elsevier/North-Holland, Amsterdam, pp. 841–887.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.