Generically algebraic algebras
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- by Kevin McCrimmon
- Trans. Amer. Math. Soc. 127 (1967), 527-551
- DOI: https://doi.org/10.1090/S0002-9947-1967-0210758-8
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References
- Hel Braun and Max Koecher, Jordan-Algebren, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer BerĂĽcksichtigung der Anwendungsgebiete, Band 128, Springer-Verlag, Berlin-New York, 1966 (German). MR 0204470
- N. Jacobson, Some groups of transformations defined by Jordan algebras. I, J. Reine Angew. Math. 201 (1959), 178–195. MR 106936, DOI 10.1515/crll.1959.201.178
- Nathan Jacobson, Generic norm of an algebra, Osaka Math. J. 15 (1963), 25–50. MR 153719
- K. McCrimmon, Norms and noncommutative Jordan algebras, Pacific J. Math. 15 (1965), 925–956. MR 204477
- Kevin McCrimmon, A proof of Schafer’s conjecture for infinite-dimensional forms admitting composition, J. Algebra 5 (1967), 72–83. MR 204478, DOI 10.1016/0021-8693(67)90026-9
- R. D. Schafer, On cubic forms permitting composition, Proc. Amer. Math. Soc. 10 (1959), 917–925. MR 109838, DOI 10.1090/S0002-9939-1959-0109838-8
- R. D. Schafer, Cubic forms permitting a new type of composition, J. Math. Mech. 10 (1961), 159–174. MR 0124371
- R. D. Schafer, On forms of degree $n$ permitting composition, J. Math. Mech. 12 (1963), 777–792. MR 0154898
- J. Tits, A theorem on generic norms of strictly power associative algebras, Proc. Amer. Math. Soc. 15 (1964), 35–36. MR 158912, DOI 10.1090/S0002-9939-1964-0158912-0
- K. McCrimmon, Jordan algebras of degree $1$, Bull. Amer. Math. Soc. 70 (1964), 702. MR 164995, DOI 10.1090/S0002-9904-1964-11173-3
Bibliographic Information
- © Copyright 1967 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 127 (1967), 527-551
- MSC: Primary 17.20
- DOI: https://doi.org/10.1090/S0002-9947-1967-0210758-8
- MathSciNet review: 0210758