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Original Articles

ON THE NILPOTENCE OF THE MULTIPLICATION OPERATOR IN COMMUTATIVE RIGHT NIL ALGEBRAS

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Pages 3473-3488 | Received 01 Feb 2001, Published online: 01 Feb 2007

REFERENCES

  • Correa , I. and Suazo , A. 1999 . On a Class of Commutative Power-Associative Nilalgebras . J. of Algebra , 215 : 412 – 417 .
  • Gerstenhaber , M. and Myung , H.C. 1975 . On Commutative Power-Associative Nilalgebras of Low Dimension . Proc. A. M. S. , 48 : 29 – 32 .
  • Carini , L. , Hentzel , I.R. and Piacentini-Cattaneo , G.M. 1988 . Degree Four Identities not Implied by Commutativity . Comm. in Algebra , 16 ( 2 ) : 339 – 356 .
  • Jacobs , D.P. , Muddana and Offutt , A.J. A Computer Algebra System for Nonassociative Identities in Proceedings of the Fifth International Conference on Hadronic Mechanics and Nonpotential Interactions . Edited by: Myung , H.C. New York : Nova Science Publishers, Inc. .
  • Jacobs , D.P. , Lee , D. , S.V.Muddana , S.V. , Offutt , A.J. , Prabhu , K. and Whiteley , T. 1993 . “ Albert's User Guide ” . Department of Computer Science, Clemson University .
  • Osborn , J.M. 1965 . Commutative Algebras Satisfying an Identity of Degree Four . Proc. Amer. Math. Soc. , 16 : 1114 – 1120 .

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