51
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

On the structure of A/k-bialgebras in prime characteristic

Pages 719-734 | Received 22 Jan 2017, Accepted 15 Jun 2018, Published online: 16 Jan 2019

References

  • Borel, A. (1991). Algebraic Groups, Graduate Texts in Mathematics, 126. New York: Springer-Verlag.
  • Brzeziński, T., Militaru, G. (2002). Bialgebroids, A-bialgebras and duality. J. Algebra 251(1):279–294.
  • Cartier, P. (1955/1956). Exemples d’ hyperalgébres. exp No. 3, Séminaire Sophus Lie, tome 2. Paris: Secrétariat Mathématiques.
  • Casas, J. M., Ladra, M., Pirashvili, T. (2005). Triple cohomology of Lie-Rinehart algebras and the canonical class of associative algebras. J. Algebra. 291(1):144–163.
  • Dokas, I. (2012). Cohomology of restricted Lie-Rinehart algebras and the Brauer group. Adv. Math. 231(5):2573–2592.
  • Herz, J. (1953). Pseudo-algébres de Lie. C. R. Acad. Sei. Paris. 236:1935–1937.
  • Hochschild, G. (1955). Simple algebras with purely inseparable splitting fields of exponent 1. Trans. Amer. Math. Soc. 79(2):477–489.
  • Huebschmann, J. (1990). Poisson cohomology and quantization. J. Reine Angew. Math. 1990(408):57–113.
  • Jacobson, N. (1962). Lie Algebras. New York: Dover Puplications, Inc.
  • Jacobson, N. (1941). Restricted Lie algebras of characteristic p. Trans. Amer. Math. Soc. 50(1):15–25.
  • Jacobson, N. (1937). Abstract derivation and Lie algebras. Trans. Amer. Math. Soc. 42(2):206–224.
  • Jacobson, N. (1944). Galois theory of purely inseparable fields of exponent one. Amer. J. Math. 66(4):645–648.
  • Kapranov, M. (2007). Free Lie algebroids and space of paths. Sel. Math. New. Ser. 13(2):277–319.
  • Michaelis, W. (1987). Properness of Lie algebras and enveloping algebras I. Proc. Amer. Math. Soc. 101(1):17–23.
  • Moerdijk, I., Mrčun, J. (2010). On the universal enveloping algebra of a Lie algebroid. Proc. Amer. Math. Soc. 138(9):3135–3145.
  • Palais, R. S. (1961). The cohomology of Lie rings. Proceedings of Symposia in Pure Mathematics, Vol. III. Providence, RI: American Mathematical Society. p. 130–137.
  • Rinehart, G. S. (1963). Differential forms on general commutative algebras. Trans. Amer. Math. Soc. 108(2):195–222.
  • Schauenburg, P. (2015). A note on the restricted universal enveloping algebra of a restricted Lie-Rinehart Algebra. arXiv:1–8.
  • Sweedler, M. (1974). Groups of simple algebras. Publ. Math. IHES. 44(1):79–189.
  • Sweedler, M. (1969). Hopf algebras, Mathematics Lecture Note Series. New York: W. A. Benjamin, Inc.
  • Takeuchi, M. (1977). Groups of algebras over A⊗A¯. J. Math. Soc. Japan. 29:459–492.

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.