On extensions of Cayley algebras
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- by Margaret M. Humm and Erwin Kleinfeld
- Proc. Amer. Math. Soc. 17 (1966), 1203-1205
- DOI: https://doi.org/10.1090/S0002-9939-1966-0200318-1
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References
- A. A. Albert, On simple alternative rings, Canad. J. Math. 4 (1952), 129–135. MR 48420, DOI 10.4153/cjm-1952-013-x
- N. Jacobson, A Kronecker factorization theorem for Cayley algebras and the exceptional simple Jordan algebra, Amer. J. Math. 76 (1954), 447–452. MR 61097, DOI 10.2307/2372584
- Irving Kaplansky, Semi-simple alternative rings, Portugal. Math. 10 (1951), 37–50. MR 41835
- Erwin Kleinfeld, An extension of the theorem on alternative division rings, Proc. Amer. Math. Soc. 3 (1952), 348–351. MR 49168, DOI 10.1090/S0002-9939-1952-0049168-X
- Erwin Kleinfeld, Simple alternative rings, Ann. of Math. (2) 58 (1953), 544–547. MR 58581, DOI 10.2307/1969753 —, A characterization of the Cayley numbers, Math. Assoc. America Studies in Mathematics, Vol. 2, pp. 126-143, Prentice-Hall, Englewood Cliffs, N. J., 1963.
Bibliographic Information
- © Copyright 1966 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 17 (1966), 1203-1205
- MSC: Primary 17.50
- DOI: https://doi.org/10.1090/S0002-9939-1966-0200318-1
- MathSciNet review: 0200318