On Power-Associative Nilalgebras of Dimension N and Nilindex N-1

REFERENCES

• Correa , I. , Suazo , A. ( 1999 ). On a class of commutative power associative nilalgebras . Journal of Algebra 215 : 412 – 417 .
   Web of Science ®Google Scholar
• Elgueta , L. , Suazo , A. ( 2002 ). Jordan nilalgebras of nilindex n and dimension n + 1 . Comm. Algebra 30 : 5547 – 5561 .
   Web of Science ®Google Scholar
• Gerstenhaber , M. ( 1960 ). On nilalgebras and linear varieties of nilpotent matrices II . Duke Math. J. 27 : 21 – 31 .
   Web of Science ®Google Scholar
• Gerstenhaber , M. , Myung , H. C. ( 1975 ). On commutative power associative nilalgebras of low dimension . Proc. Amer. Math. Soc. 48 : 29 – 32 .
   Web of Science ®Google Scholar
• Albert , A. A. ( 1948 ). Power associative rings . Trans. Amer. Math. Soc. 64 : 552 – 593 .
   Web of Science ®Google Scholar
• Fernandez , J. C. G. , Suazo , A. ( 2005 ). Commutative power associative nilalgebras of nilindex 5 . Result. Math. 47 : 296 – 304 .
   Google Scholar
• Elgueta , L. , Suazo , A. ( 2004 ). Solvability of commutative power associative nilalgebras of nilindex 4 and dimension ≤8 . Proyecciones 23 : 123 – 129 .
   Google Scholar
• Elgueta , L. , Fernandez , J. C. G. , Suazo , A. ( 2005 ). Nilpotence of a class of commutative power associative nilalgebras . Journal of Algebra 291 : 492 – 504 .
   Web of Science ®Google Scholar
• Fernandez , J. C. G. ( 2004 ). On commutative power associative nilalgebras . Comm. in Algebra 32 : 2243 – 2250 .
   Web of Science ®Google Scholar
• Fernadez , J. C. G. , Garcia , C. I. , Montoya , M. L. R. ( 2013 ). On power-associative nilalgebras of nilindex and dimension n . Revista Colombiana de Matemáticas 47 : 1 – 11 .
   Google Scholar
• Communicated by I. Shestakov.
   Google Scholar