Albert

The Albert nonassociative algebra system: A progress report. After four years of experience with the nonassociative algebra program Albert, we highlight its successes and drawbacks. Among its successes are the discovery of several new results in nonassociative algebra. Each of these results has been independently verified - either with a traditional mathematical proof or with an independent computation. Computer algebra system (CAS).

This software is also peer reviewed by journal TOMS.


References in zbMATH (referenced in 13 articles , 1 standard article )

Showing results 1 to 13 of 13.
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  1. Zusmanovich, Pasha: Special and exceptional mock-Lie algebras (2017)
  2. Correa, Iván; Hentzel, Irvin Roy; Labra, Alicia: Some results on the structure of a class of commutative power-associative nilalgebras of nilindex four (2016)
  3. Correa, Ivan; Hentzel, Irvin Roy: Commutative finitely generated algebras satisfying $((yx)x)x=0$ are solvable (2009)
  4. Arenas, Manuel; Labra, Alicia: On nilpotency of generalized almost-Jordan right-nilalgebras (2008)
  5. Behn, Antonio; Correa, Iván; Hentzel, Irvin Roy: Semiprimality and nilpotency of nonassociative rings satisfying $x(yz) = y(zx)$ (2008)
  6. Hentzel, Irvin Roy; Labra, Alicia: Generalized Jordan algebras (2007)
  7. Hentzel, Irvin Roy; Labra, Alicia: On left nilalgebras of left nilindex four satisfying an identity of degree four (2007)
  8. Bremner, Murray; Hentzel, Irvin: Identities for the associator in alternative algebras (2002)
  9. Bremner, Murray; Hentzel, Irvin: Identities for algebras obtained from the Cayley-Dickson process. (2001)
  10. Hentzel, Irvin Roy; Peresi, Luiz Antonio; Giuliani, Osmar Francisco: On the variety determined by symmetric quadratic algebras (2000)
  11. Kleinfeld, Erwin; Kleinfeld, Margaret: A generalization of rings of type $(1,1)$. (1999)
  12. Jacobs, David P.: The Albert nonassociative algebra system: A progress report (1994)
  13. Hentzel, Irvin Roy; Jacobs, D.P.; Kleinfeld, Erwin: Rings with $(a,b,c)=(a,c,b)$ and $(a,[b,c],d)=0$: a case study using ALBERT (1993)