55
Views
0
CrossRef citations to date
0
Altmetric
Articles

A note on the structure of complete alternative local algebras

Pages 5511-5516 | Received 18 Jun 2020, Accepted 24 Jun 2020, Published online: 14 Jul 2020

References

  • Baez, J. C. (2001). The octonions. Bull. Amer. Math. Soc. 39(2):145–205. DOI: 10.1090/S0273-0979-01-00934-X.
  • Bakhturin, Y. A., Slin’ko, A. M., Shestakov, I. P. (1982). Nonassociative rings. J. Math. Sci. 18(2):169–211. (Translated from Itogi Naukii Tekhniki, Seriya Algebra, Topologiya, Geometriya, Vol. 18, pp. 3–72, 1981.) DOI: 10.1007/BF01255614.
  • Matsumura, H. (1989). Commutative Ring Theory. Cambridge Studies in Advanced Mathematics, Vol. 8. Cambridge: Cambridge University Press.
  • McCrimmon, K. (2004). A Taste of Jordan Algebras. New York: Springer-Verlag.
  • Schafer, R. D. (1966). An Introduction to Non-Associative Algebras. Pure and Applied Mathematics, Vol. 22. New York: Academic Press.
  • Serre, J.-P. (1979). Local Fields. Graduate Text in Mathematics, Vol. 67. New York: Springer-Verlag.
  • Slater, M. (1967). Nucleus and center in alternative rings. J. Algebra 7(3):372–388. DOI: 10.1016/0021-8693(67)90077-4.
  • Smiley, M. F. (1948). The radical of an alternative ring. Ann. Math. 49(3):702–709. DOI: 10.2307/1969053.
  • Zhevlakov, K. A., Slin’ko, A. M., Shestakov, I. P., and Shirshov, A. I. (1982). Rings that are Nearly Associative. Pure and Applied Mathematics, Vol. 104. New York: Academic Press.
  • Zorn, M. (1941). Alternative rings and related questions I: existence of the radical. Ann. Math. 42(3):676–686. DOI: 10.2307/1969256.

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.