Distinguishing simple jordan algebras by means of polynomial identities

References

• Amitsur , A.S. and Levitzki , J. 1950 . Minimal identities for algebras . Proc. Amer. Math. Soc , 1 : 449 – 463 .
   Web of Science ®Google Scholar
• Benediktovic , 1.I. and Zalesski , A.E. 1979 . Almost standard identities of matrix algebras . Dokl. Akad. Nauk BSSR , 23 : 201 – 204 .
   Google Scholar
• Drensky , V.S. 1987 . Polynomial identities for the Jordan algebra of a symmetric bilinear form . J. Algebra , 108 : 66 – 87 .
   Web of Science ®Google Scholar
• Jacobson , N. 1968 . Structure and Representations of Jordan Algebras, Colloq. Publ . Amer. Math. Soc., Providence, R.I. , 39 : 453
   Google Scholar
• Kushkulei , A.Kh. 1987 . Identities of the irreducible sets of linear operators . Izv. Vyssh. Uchebn. Zaved. Mat , 12 : 55 – 58 .
   Google Scholar
• Kushkulei , A.Kh. and Razmyslov , Yu.P. 1983 . Varieties generated by irreducible representations of Lie algebras . Vestnik Moskov. Univ. Ser I Mat. Mekh , 5 : 4 – 7 .
   Google Scholar
• Ma , W. and Racine , M.L. 1990 . Minimal identities of symmetric matrices . Trans. Amer. Math. Soc , 320 : 171 – 192 .
   Google Scholar
• Mccrimmon , K. and Zel'manov , E. 1988 . The structure of strongly prime quadratic Jordan algebras . Adv. in Math , 69 : 133 – 222 .
   Web of Science ®Google Scholar
• Racine , M.L. 1976 . Central polynomials for Jordan algebras . I, J. Algebra , 41 : 224 – 237 .
   Web of Science ®Google Scholar
• Racine , M.L. 1985 . Minimal identities for Jordan algebras of degree 2, Comm . Algebra , 13 : 2493 – 2506 .
   Web of Science ®Google Scholar
• Razmyslov , Yu.P. 1989 . “ Identities of Algebras and their Representations ” . 432 Moscow : Nauk .
   Google Scholar
• Smith , B.D. 1977 . A standard Jordan polynomial . Comm. Algebra , 5 : 207 – 218 .
   Web of Science ®Google Scholar
• Vassilovski , S.Yu. 1989 . The base of identities of Jordan algebras of bilinear forms . Proc. of the Inst. of Math. of the Siberian Branch of the Academy of the USSR , 16 : 5 – 37 .
   Google Scholar