References
- Cuenca , J. A. , Elduque , A. and Pérez-Izquierdo , J. M. 2000 . Power associative composition algebras . Manuscripta Math. , 103 ( 1 ) : 75 – 90 .
- Elduque , A. 1997 . Symmetric composition algebras . J. Algebra , 196 ( 1 ) : 282 – 300 . [CROSSREF]
- Elduque , A. and Myung , H. C. 1991 . Flexible composition algebras and Okubo algebras . Comm. Algebra , 19 ( 4 ) : 1197 – 1227 .
- Elduque , A. and Myung , H. C. 1993 . On flexible composition algebras . Comm. Algebra , 21 ( 7 ) : 2481 – 2505 .
- Elduque , A. and Pérez-Izquierdo , J. M. 1994 . Third power associative composition algebras . Manuscripta Math. , 84 : 73 – 87 .
- Elduque , A. and Pérez-Izquierdo , J. M. 1996 . Composition algebras with associative bilinear form . Comm. Algebra , 24 ( 3 ) : 1091 – 1116 .
- Elduque , A. and Pérez-Izquierdo , J. M. 1999 . Composition algebras of degree two . Proc. Edinburgh Math. Soc. (2) , 42 ( 3 ) : 641 – 653 .
- Faulkner , J. R. 1988 . Finding octonion algebras in associative algebras . Proc. Amer. Math. Soc. , 104 ( 4 ) : 1027 – 1030 .
- Jacobson , N. 1958 . Composition algebras and their automorphisms . Rend. Circ. Mat. Palermo (2) , 7 : 55 – 80 .
- Kaplansky , I. 1953 . Infinite-dimensional quadratic forms admitting composition . Proc. Amer. Math. Soc. , 4 : 956 – 960 .
- Knus , M. A. , Merkurjev , A. , Rost , M. and Tignol , J. P. 1998 . The Book of Involutions , Colloquium Publications 44. American Mathematical Society .
- Myung , H. C. 1986 . Malcev-Admissible Algebras , Progress in Mathematics, 64 Boston : Birkhäuser .
- Okubo , S. 1981, 1982a . Classification of flexible composition algebras I . Hadronic J. , 5 ( 4 ) : 1564 – 1612 .
- Okubo , S. 1981, 1982b . Classification of flexible composition algebras II . Hadronic J. , 5 ( 4 ) : 1613 – 1626 .
- Okubo , S. and Osborn , J. M. 1981 . Algebras with nondegenerate associative symmetric bilinear forms permitting composition, I and II . Comm. Algebra , 9 ( 9 ) : 1233 – 1261 . (20): 2015–2073
- Petersson , H. 1969 . Eine Identität fünften Grades, der gewisse Isotope von Kompositionsalgebren genügen . Math. Z. , 109 : 217 – 238 .
- Zhevlakov , K. A. , Slin'ko , A. M. , Shestakov , I. P. and Shirshov , A. I. 1982 . Rings that are Nearly Associative New York : Academic Press .
- #Communicated by E. Zelmanov.