Simple associative algebras with finite Z-grading

Journal of Algebra

Volumn 196, Issue 1, 1997, Pages 171-184

  Smirnov, Oleg N ^a,b  

^a UNIVERSITY OF OTTAWA   (Canada)

^b SOBOLEV INSTITUTE OF MATHEMATICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031258706     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1997.7087     Document Type: Article

References (17)

1. 1. G. Abrams and J. Haefner, Primeness conditions for group graded rings, in "Ring Theory," pp. 1-19, World Scientific, River Edge, NJ, 1993.
2. 2. B. N. Allison, A class of nonassociative algebras with involution containing the class of Jordan algebras, Math. Ann. 237 (1978), 133-156.
3. 3. B. N. Allison, Models of isotropic simple Lie algebras, Comm. Algebra 7 (1979), 1835-1875.
4. 4. B. N. Allison and J. R. Faulkner, Elementary groups for Kantor pairs, to appear.
5. 5. G. M. Bergman, Radicals, tensor products, and algebraicity, in "Ring Theory in Honor of S. A. Amitsur," pp. 150-192, Weizmann Science Press, Jerusalem, 1989.
6. 6. V. P. Camillo and K. R. Fuller, On graded rings with finiteness conditions, Proc. Amer. Math. Soc. 86 (1982), 1-5.
7. 7. M. Cohen and S. Montgomery, Group-graded rings, smash products, and group actions, Trans. Amer. Math. Soc. 282 (1984), 237-258.
8. 8. J. R. Faulkner, Structurable triples, Lie triples, and symmetric spaces, Forum Math. 6 (1994), 637-650.
9. 9. P. Grzeszczuk, On G-systems and G-graded rings, Proc. Amer. Math. Soc. 95 (1985), 348-352.
10. 10. I. L. Kantor, Some generalizations of Jordan algebras, Trudy Sem. Vektor. Tenzor. Anal. 16 (1972), 407-499 (in Russian).
11. 11. S. L. Kleiman, Algebraic cycles and the Weil conjecture, in "Dix Exposes sur la Cohomologie des Schémas" (J. Giraud, Ed.), pp. 359-386, North-Holland, Amsterdam, 1968.
12. 12. K. McCrimmon, Martindale systems of symmetric quotients, Algebras Groups Geom. 6 (1989), 153-237.
13. 13. C. Nǎstǎsescu and F. Van Oystaen, "Graded Ring Theory," North-Holland, Amsterdam, 1982.
14. 14. O. N. Smirnov, Simple and semisimple structurable algebras, in "Proceedings of International Conference on Algebra (Novosibirsk, 89)," Part 2, Contemp. Math. 131 (1992), 685-694.
15. 15. O. N. Smirnov, Graded associative algebras and Grothendieck standard conjectures, Invent. Math., to appear.
16. 16. E. Zelmanov, Lie algebras with algebraic adjoint representation, Math. USSR-Sb. 49 (1984), 537-552.
17. 17. E. Zelmanov, Lie algebras with a finite grading, Math. USSR-Sb. 52 (1985), 347-385.