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Article
Counterexamples in Nonassociative Algebra
Algebras, Groups and Geometries
  • Irvin R. Hentzel, Iowa State University
  • Luiz Antonio Peresi, University of Sao Paulo
Document Type
Article
Disciplines
Publication Version
Published Version
Publication Date
1-1-1988
Abstract
We present a method of constructing counterexamples in nonassociative algebra. The heart of the computation is constructing a matrix of identities and reducing this matrix (usually very sparse) to row canonical form. The example is constructed from the entries in one column of this row canonical form. While this procedure is not polynomial in the degree of the identity, several shortcuts are listed which shorten calculations. Several examples are given.
Copyright Owner
Hadronic Press, Inc.
Language
en
File Format
application/pdf
Citation Information
Irvin R. Hentzel and Luiz Antonio Peresi. "Counterexamples in Nonassociative Algebra" Algebras, Groups and Geometries Vol. 6 Iss. 1 (1988) p. 55 - 64
Available at: http://works.bepress.com/irvin-hentzel/30/