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Centers of a free (−1, 1) ring

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Literature Cited

  1. E. Kleinfeld, “Simple alternative rings,” Ann. Math.,58, No. 3, 544–547 (1953).

    Google Scholar 

  2. C. Maneri, “Simple (−1,1) rings with an idempotent” Proc. Am. Math. Soc.,14, 110–117 (1963).

    Google Scholar 

  3. A. A. Albert, “On right alternative algebras,” Ann. Math.,50, No. 2, 318–328 (1949).

    Google Scholar 

  4. N. Sterling, “Prime (−1,1) rings with idempotent,” Proc. Am. Math. Soc.,18, 902–909 (1967).

    Google Scholar 

  5. I. R. Hentzel, “Nil semisimple (−1,1) rings,” J. Algebra,22, No. 3, 442–450 (1972).

    Google Scholar 

  6. R. É. Roomel'di, “Solvability of (−1,1) nil-rings,” Algebra Logika,12, No. 4, 478–489 (1973).

    Google Scholar 

  7. I. R. Hentzel, “The characterization of (−1,1) rings,” J. Algebra,30, 236–257 (1974).

    Google Scholar 

  8. S. V. Pchelintsev, “(−1,1) rings,” Second All-Union Symposium on the Theory of Rings, Algebras, and Modules, Abstract, Kishinev, Shtiintsa (1974), p. 48.

  9. S. V. Pchelintsev, “The free (−1,1) algebra with two generators,” Algebra Logika,13, No. 4, 425–449 (1974).

    Google Scholar 

  10. E. Kleinfeld, “Right alternative rings,” Proc. Am. Math. Soc.,4, No. 6, 939–944 (1953).

    Google Scholar 

  11. A. Thedy, “On right alternative rings,” Aarhus Univ., Mat. Inst. Preprint No. 49 (1971).

  12. G. V. Dorofeev, “An example in the theory of alternative rings,” Sib. Mat. Zh.,4, No. 5, 1049–1052 (1963).

    Google Scholar 

  13. G. V. Dorofeev, “On the locally nilpotent radical of nonassociative rings,” Algebra Logika,10, No. 4, 355–364 (1971).

    Google Scholar 

  14. G. V. Dorofeev, “An example of a solvable but not nilpotent (−1,1) ring,” Algebra Logika,12, No. 2, 162–166 (1973).

    Google Scholar 

  15. E. Kleinfeld, “On a class of right alternative rings,” Math. Z.,87, No. 1, 12–16 (1965).

    Google Scholar 

  16. M. Humm and E. Kleinfeld, “On free alternative rings,” J. Combinatorial Theory,2, No. 2, 140–144 (1967).

    Google Scholar 

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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 18, No. 4, pp. 861–876, July–August, 1977.

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Roomel'di, R.É. Centers of a free (−1, 1) ring. Sib Math J 18, 610–622 (1977). https://doi.org/10.1007/BF00967203

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  • DOI: https://doi.org/10.1007/BF00967203

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