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Original Articles

The Composition Structure of Alternative and Malcev Algebras

Pages 886-908 | Received 12 Dec 2010, Published online: 22 Oct 2014

REFERENCES

  • Dorofeev , G. V. ( 1973 ). Centers of nonassociative rings . Algebra and Logic 12 ( 3 ): 297 – 309 .
  • Filippov , V. T. ( 1993 ). Decomposition of a variety of alternative algebras into a subvariety product . Algebra and Logic 32 ( 1 ): 73 – 91 .
  • Filippov , V. T. ( 1999 ). On centers of Mal'tsev and alternative algebras . Algebra and Logic 38 ( 5 ): 335 – 350 .
  • Filippov , V. T. ( 1981 ). Varieties of Malcev algebras . Algebra and Logic 20 ( 3 ): 200 – 209 .
  • Filippov , V. T. ( 1997 ). Trivial nuclear ideals of alternative algebras . Algebra and Logic 36 ( 1 ): 60 – 71 .
  • Hentzel , I. R. ( 1984 ). Centers of alternative rings . J. Algebra 90 ( 1 ): 247 – 250 .
  • Hentzel , I. R. , Peresi , L. A. ( 2006 ). The nucleus of the free alternative algebra . Experimental Math. 15 ( 4 ): 445 – 453 .
  • Hentzel , I. R. , Peresi , L. A. ( 1997 ). Identities of Cayley-Dickson algebras . J. Algebra 188 ( 1 ): 292 – 309 .
  • Hentzel , I. R. , Peresi , L. A. ( 2004 ). Central elements of minimal degree in the free alternative algebra. Lecture Notes in Pure and Applied Mathematics New York, pp. 195–204 .
  • Iltyakov , A. V. ( 1984 ). Free alternative algebra of rank 3 . Algebra and Logic 23 ( 2 ): 136 – 158 .
  • Keinfeld , E. ( 1953 ). Simple alternative rings . Ann. of Math, (2) 58 : 544 – 547 .
  • Peresi , L. A. , Bremner , M. R. ( 2009 ). Nonhomogeneous subalgebras of Lie and special Jordan superalgebras . J. Algebra 332 ( 6 ): 2000 – 2026 .
  • Shelipov , A. N. ( 1973 ). Some properties of kernel of an alternative ring . Math. Issl. 8 ( 2 ): 183 – 187 .
  • Shestakov , I. P. ( 1976 ). Centers of alternative algebras . Algebra and Logic 15 ( 3 ): 343 – 362 .
  • Shestakov , I. , Zhukavets , N. ( 2009 ). Skew-symmetric identities of octonions . J. Pure and applied Algebra 213 : 479 – 492 .
  • Slater , M. ( 1967 ). Nucleus and center in alternative rings . J. Algebra 7 ( 3 ): 372 – 388 .
  • Sverchkov , S. R. (1988). Varieties of special algebras. Communications in Algebra 16(9):1877–1919.
  • Zhevlakov , K. A. , Slinko , A. M. , Shestakov , I. P. , Shirshov , A. I. ( 1982 ). Rings That Are Nearly Associative . New York : Academic Press .
  • Dniester Notebook: Unsolved Problems in the Theory of Rings and Modules. Mathematics Institute, Russian Academy of Sciences, Siberian Branch, Novosibirsk, Fourth Edition (1993).
  • Communicated by I. Shestakov.

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