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McCrimmon, Kevin

Inner ideals in quadratic Jordan algebras. (English) Zbl 0224.17011

Trans. Am. Math. Soc. 159, 445-468 (1971).
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Cited in 3 Reviews
Cited in 30 Documents

MSC:

17C10 Structure theory for Jordan algebras
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References:

[1] John R. Faulkner, Octonion planes defined by quadratic Jordan algebras, Memoirs of the American Mathematical Society, No. 104, American Mathematical Society, Providence, R.I., 1970. · Zbl 0206.23301
[2] N. Jacobson, Structure theory of quadratic Jordan algebras, Lecture Notes, Tata Institute, Bombay, 1970.
[3] Kevin McCrimmon, A general theory of Jordan rings, Proc. Nat. Acad. Sci. U.S.A. 56 (1966), 1072 – 1079. · Zbl 0139.25502
[4] Kevin McCrimmon, The radical of a Jordan algebra, Proc. Nat. Acad. Sci. U.S.A. 62 (1969), 671 – 678. · Zbl 0175.31002
[5] Kevin McCrimmon, Quadratic Jordan algebras and cubing operations, Trans. Amer. Math. Soc. 153 (1971), 265 – 278. · Zbl 0226.17007
[6] Kevin McCrimmon, The Freudenthal-Springer-Tits constructions of exceptional Jordan algebras, Trans. Amer. Math. Soc. 139 (1969), 495 – 510. · Zbl 0175.02703
[7] Kevin McCrimmon, Homotopes of alternative algebras, Math. Ann. 191 (1971), 253 – 262. · Zbl 0203.33802 · doi:10.1007/BF01350327
[8] F. van der Blij and T. A. Springer, Octaves and triality, Nieuw Arch. Wisk. (3) 8 (1960), 158 – 169. · Zbl 0127.11804
[9] Tonny A. Springer and Ferdinand D. Veldkamp, On Hjelmslev-Moufang planes, Math. Z. 107 (1968), 249 – 263. · Zbl 0164.51301 · doi:10.1007/BF01110014
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