Schafer, R. D. Forms permitting composition. (English) Zbl 0258.17001 Adv. Math. 4, 127-148 (1970). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 9 Documents MSC: 17-02 Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras 17C05 Identities and free Jordan structures 17D05 Alternative rings 17A30 Nonassociative algebras satisfying other identities PDF BibTeX XML Cite \textit{R. D. Schafer}, Adv. Math. 4, 127--148 (1970; Zbl 0258.17001) Full Text: DOI OpenURL References: [1] Albert, A.A, Quadratic forms permitting composition, Ann. of math., 43, 161-177, (1942) · Zbl 0060.04003 [2] Albert, A.A, Power-associative rings, Trans. amer. math. soc., 64, 552-593, (1948) · Zbl 0033.15402 [3] van der Blij, F, History of the octaves, Simon stevin, 34, 106-125, (1961) · Zbl 0145.26205 [4] Bôcher, M, Introduction to higher algebra, (1929), Macmillan New York · JFM 39.0118.01 [5] Braun, H; Koecher, M, Jordan-algebren, (1966), Springer-Verlag Berlin · Zbl 0145.26001 [6] Dickson, L.E, On quaternions and their generalization and the history of the eight square theorem, Ann. of math., 20, 155-171, (1919) · JFM 47.0099.01 [7] Dickson, L.E, Algebras and their arithmetics, (1923), University of Chicago Press Chicago · JFM 49.0079.01 [8] Hurwitz, A, Über die komposition der quadratischen formen von beliebig vielen variabeln, Nachr. ges. wiss. Göttingen, 309-316, (1898) · JFM 29.0177.01 [9] Jacobson, N, Composition algebras and their automorphisms, Rend. circ. mat. Palermo, 7, 55-80, (1958) · Zbl 0083.02702 [10] Jacobson, N, Some groups of linear transformations defined by Jordan algebras, I, J. reine angew. math., 201, 178-195, (1959) · Zbl 0084.03601 [11] Jacobson, N, Generic norm of an algebra, Osaka math. J., 15, 25-50, (1963) · Zbl 0199.07201 [12] Kaplansky, I, Infinite-dimensional quadratic forms permitting composition, (), 956-960 · Zbl 0052.11004 [13] McCrimmon, K, Norms and noncommutative Jordan algebras, Pacific J. math., 15, 925-956, (1965) · Zbl 0139.25501 [14] McCrimmon, K, A proof of Schafer’s conjecture for infinite-dimensional forms admitting composition, J. algebra, 5, 72-83, (1967) · Zbl 0153.05901 [15] McCrimmon, K, Generically algebraic algebras, Trans. amer. math. soc., 127, 527-551, (1967) · Zbl 0153.05801 [16] Osborn, J.M, A norm on separable noncommutative Jordan algebras of degree 2, (), 423-425 · Zbl 0176.30803 [17] Schafer, R.D, On cubic forms permitting composition, (), 917-925 · Zbl 0090.25201 [18] Schafer, R.D, Cubic forms permitting a new type of composition, J. math. mech., 10, 159-174, (1961) · Zbl 0098.02804 [19] Schafer, R.D, On forms of degree n permitting composition, J. math. mech., 12, 777-792, (1963) · Zbl 0115.25802 [20] Schafer, R.D, An introduction to nonassociative algebras, (1966), Academic Press New York · Zbl 0145.25601 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.