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On the Solvability of the Five Dimensional Commutative Power-Associative Nilalgebras

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We prove that commutative power-associative nilalgebras of dimension 5 are solvable.

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References

  1. I. Correa and I. R. Hentzel, On solvability of noncommutative power-associative nilalgebras, J. Algebra, accepted.

  2. I. Correa and A. Suazo, On a class of commutative power-associative nilalgebras, J. Algebra 215:412–417 (1999).

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  3. M. Gerstenhaber and H. C. Myung, On commutative power-associative nilalgebras of low dimension, Proc. Amer. Math. Soc. 48:29–32 (1975).

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  4. D. Suttles, A counterexample to a conjeture of Albert, Notices Amer. Math. Soc. 19:A–566 (1972).

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  5. K. A. Zhevlakov, A. M. Slin’ko, I. P. Shestakov, A. I. Shirshov, “Rings That Are Nearly Associative”, Academic Press, New York, 1982.

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Correspondence to Ivan Correa.

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Correa, I., Peresi, L.A. On the Solvability of the Five Dimensional Commutative Power-Associative Nilalgebras. Results. Math. 39, 23–27 (2001). https://doi.org/10.1007/BF03322674

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  • DOI: https://doi.org/10.1007/BF03322674

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