Literature Cited
I. M. Mikheev, "On an identity in right-alternative rings," Algebra i Logika,8, No. 8, 357–366 (1969).
S. V. Pchelintsev, "Nil elements in rings of the types (1, 1) and (−1, 1)," 12th All-Union Algebraic Colloquium, Abstracts of Communications [in Russian], Sverdlovsk (1973).
A. A. Albert, "The structure of right-alternative algebras," Ann. Math.,59, 408–417 (1954).
I. Hentzel, "Nil semisimple (−1, 1)-rings," J. Algebra,22, 442–450 (1972).
C. Maneri, "Simple (−1, 1)-rings with an idempotent," Proc. Amer. Math. Soc.,14, 110–117 (1963).
Additional information
Translated from Algebra i Logika, Vol. 13, No. 2, pp. 217–223, March–April, 1974.
Rights and permissions
About this article
Cite this article
Pchelintsev, S.V. Nilpotency of the associators in a free (−1, 1)-ring. Algebra and Logic 13, 123–128 (1974). https://doi.org/10.1007/BF01463151
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01463151