References
Baxter, W. E. and W.S. Martindale, III, Rings with involution and polynomial identities, Canad. Math. J., 20 (1968), 465–473.
Braun, H. and M. Koecher,Jordan-Algebren, Springer-Verlag, Berlin, Heidelberg, New York, (1966).
Dorfmeister, J. and M. Koecher, Relative Invarianten von Gebieten, Math. Ann., 228 (1977), 147–186.
Herstein, I. N.,Noncommutative Rings, Carus. Math. Monographs 15, MAA, Washington, D. C. (1968).
Jacobson, N.,Structure and Representations of Jordan Algebras, AMS, Colloquium Publications 38, Providence, Rhode Island, (1968).
Janssen, G., Reele Jordanalgebren mit Endlicher Spur, Manuscripta Math., 13 (1974), 237–273.
Koecher, M., Jordan Algebras and their Applications, Lecture Notes, University of Minnesota, (1962).
Loustau, J.A., The structure of algebraic Jordan algebras with-out nonzero nilpotent elements, Comm. in Algebra, 4 (1976), 1045–1070.
McCrimmon, K., Structure and representations of non-commutative Jordan algebras, Trans. A.M.S., 121 (1966), 187–199.
McCrimmon, K., A proof of Schaefer's conjecture for infinite dimensional forms admitting composition, J. of Algebra, 5 (1967), 72–83.
McCrimmon, K., Generically algebraic algebras, Trans. A.M.S., 127 (1967), 527–551.
McCrimmon, K., The radical of a Jordan algebra, Proc. N.A.S., 62 (1969), 671–678.
Osborn, J.M., Jordan and associative rings with nilpotent and invertible elements, J. of Algebra, 15 (1970), 301–308.
Schaefer, R.D.,An Introduction to Nonassociative Algebras, Academic Press, New York, (1966).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Loustau, J.A. On algebraic power-associative and Jordan algebras with semi-normal functionals. Manuscripta Math 24, 379–402 (1978). https://doi.org/10.1007/BF01168883
Issue Date:
DOI: https://doi.org/10.1007/BF01168883