References
Albert, A. A.: Non-associative algebras. Annals of Math.43, 685–707 (1942).
Bruck, R. H.: Contributions to the theory of loops, Trans. Amer. Math. Soc.60, 245–354 (1946).
McCrimmon, K.: A characterization of the Jacobson-Smiley radical, J. Algebra (1971).
—— Cubing operations and quadratic Jordan algebras. Trans. Amer. Math. Soc.153, 265–278 (1971).
-- Noncommutative Jordan rings, to appear.
—— Homotopes of noncommutative Jordan algebras, Math. Ann.191, 263–270 (1971).
—— Generically algebraic algebras, Trans. Amer. Math. Soc.127, 527–551 (1967).
Schafer, R. D.: An introduction to nonassociative algebras. New York: Academic Press 1966.
—— Alternative algebras over an arbitrary field. Bull. Amer. Math. Soc.49, 549–555 (1943).
Thedy, A.: Mutationen und polarisierte Fundamentalformel. Math. Ann.177, 235–246 (1968).
Jacobson, N.: Structure theory of quadratic Jordan algebras. Lecture notes. Tata Institute Bombay 1970.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
McCrimmon, K. Homotopes of alternative algebras. Math. Ann. 191, 253–262 (1971). https://doi.org/10.1007/BF01350327
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01350327