Right alternative algebras

1. K. A. Zhevlakov, A. M. Slin'ko, I. P. Shestakov, and A. I. Shirshov, Rings That Are Nearly Associative, Academic Press, New York (1982).

   Google Scholar 

2. E. I. Zel'manov, "On primary Jordan algebras. II," Sib. Mat. Zh.,24, No. 1, 89–104 (1983).

   Google Scholar 

3. I. M. Mikheev, "On an identity in right alternative rings," Algebra Logika,8, No. 3, 357–366 (1969).

   Google Scholar 

4. I. M. Mikheev, "The locally right nilpotent radical in the class of right alternative rings," Algebra Logika,11, No. 2, 174–185 (1972).

   Google Scholar 

5. I. M. Mikheev, "On primary right alternative rings with an idempotent," Mat. Zametki,27, No. 2, 185–191 (1980).

   Google Scholar 

6. I. M. Mikheev, "Simple right alternative rings," Algebra Logika,16, No. 6, 682–710 (1977).

   Google Scholar 

7. S. V. Pchelintsev, "An example of a primary Jordan algebra, generated by absolute divisors of zero," in: Sixteenth All-Union Algebra Conference, Part 1, Minsk (1983), p. 158.

8. A. M. Slin'ko, "On radicals of Jordan rings," Algebra Logika,11, No. 2, 206–215 (1972).

   Google Scholar 

9. A. M. Slin'ko and I. L. Shestakov, "Right representations of algebras," Algebra Logika,13, No. 5, 544–587 (1974).

   Google Scholar 

10. V. G. Skosyrskii, "On nilpotency in Jordan and right alternative algebras," Algebra Logika,18, No. 1, 73–85 (1979).

    Google Scholar 

11. A. I. Shirshov, "On certain nonassociative nil-rings and algebraic algebras," Mat. Sb.,41, No. 3, 381–394 (1957).

    Google Scholar 

12. Dnestrovskaya Tetrad', Unsolved Problems in the Theory of Rings and Modules [in Russian], Novosibirsk (1982).

13. A. A. Albert, "On right alternative rings," Ann. Math.,50, 318–328 (1949).

    Google Scholar 

14. N. Jacobson, Structure and Representation of Jordan Algebras, Am. Math. Soc., Providence (1968).

    Google Scholar 

15. E. Kleinfeld, "Right alternative rings," Proc. Am. Math. Soc.,4, 939–944 (1953).

    Google Scholar 

16. M. F. Smiley, "Jordan homomorphism and right alternative rings," Proc. Am. Math. Soc.,8, 668–671 (1957).

    Google Scholar 

17. A. Thedy, "Right alternative rings," J. Algebra,37, No. 1, 1–43 (1975).

    Google Scholar 

18. A. Thedy, "Right alternative ring with Peirce decomposition," J. Algebra,37, No. 1, 44–63 (1975).

    Google Scholar 

19. A. Thedy, "Radical of right alternative and Jordan rings," Preprint.

Download references