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Original Articles

On Commutative Power-Associative Nilalgebras

Pages 2243-2250 | Received 01 Sep 2002, Accepted 01 Sep 2003, Published online: 18 Aug 2006

References

  • Albert , A. A. 1948 . On power-associative rings . Trans. Amer. Math. Soc. , 64 : 552 – 593 .
  • Correa , I. and Peresi , L. A. 2001 . On the solvability of the five dimensional commutative power-associative nilalgebra . Results Math. , 39 ( 1–2 ) : 23 – 27 .
  • Correa , I. and Suazo , A. 1999 . On a class of commutative power-associative nilalgebras . J. Algebra , 215 : 412 – 417 . [CROSSREF]
  • Gerstenhaber , M. 1959 . On nilalgebras and linear varieties of nilpotent matrices. III . Ann. Math. , 70 ( 1 ) : 167 – 205 .
  • Gerstenhaber , M. 1960 . On nilalgebras and linear varieties of nilpotent matrices. II . Duke Math. J. , 27 : 21 – 31 . [CROSSREF]
  • Gerstenhaber , M. and Myung , H. C. 1975 . On commutative power-associative nilalgebras of low dimension . Proc. Amer. Math. Soc. , 48 : 29 – 32 .
  • Jacobs , D. P. , Muddana , S. V. , Offutt , A. J. , Prabhu , K. , Lee , D. and Whiteley , T. 1990 . Version 3.0 Albert User's guide , Department of Computer Science, Clemson University: Clemson, S.C. 29634-1906, USA
  • Peresi , L. A. 2002 . Nilalgebras of Dimension 6 and 7. XVII Brazilian Algebra Meeting, Short talk. [Result published in: Correa, I., Hentzel, I. R., Peresi, L. A. (2003). On the solvability of the commutative power-associative nilalgebras of dimension 6. Linear Alg. Appl. 369:185–192.]
  • Suttles , D. 1972 . A counterexample to a conjecture of Albert . Notices Amer. Math. Soc. , 19 : A-566
  • #Communicated by I. Shestakov.

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