132
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Anick resolution and Koszul algebras of finite global dimension

&
Pages 5380-5383 | Received 09 Aug 2016, Published online: 12 May 2017

References

  • Anick, D. J. (1986). On the homology of associative algebras. Trans. Am. Math. Soc. 296(2):641–659.
  • Beilinson, A., Ginsburg, V., Schechtman, V. (1988). Koszul duality. J. Geom. Phys. 5(3):317–350.
  • Bergman, G. (1978). The diamond lemma for ring theory. Adv. Math. 29(2):178–218.
  • Chowdhury, S. R. (2015). Gröbner bases: Connecting linear algebra with homological and homotopical algebra. M.Sc. Thesis. Trinity College Dublin, Preprint arXiv:1510.01542.
  • Golod, E. S. (1988). Standard Bases and Homology. Lecture Notes in Mathematics, Vol. 1352, pp. 88–95.
  • Golod, E. S., Shafarevich, I. R. (1964). On the class field tower. Izv. Akad. Nauk SSSR Ser. Mat. 28(2):261–272.
  • Iyudu, N., Shkarin, S. (2016). One question from the Polishchuk and Positselski book on Quadratic algebras. Preprint IHES/M/16/16, http://preprints.ihes.fr/2016/M/M-16-16.pdf (Last accessed on May 18, 2016).
  • Polishchuk, A., Positselski, L. (2005). Quadratic Algebras. University Lecture Series, Vol. 37. Providence, RI: AMS.
  • Ufnarovski, V. A. (1991). On the use of graphs for computing a basis, growth and Hilbert series of associative algebras. Math. USSR – Sbornik 68(2):417–428.
  • Ufnarovski, V. A. (1995). Combinatorial and asymptotic methods in algebra. In: Algebra, VI. Encyclopaedia of Mathematical Science, Vol. 57. Berlin: Springer, pp. 1–196.

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.