Orthogonality in WBJ algebras

The characterization of automorphisms of Bernstein algebras is an open problem. We only know some particular results. Previously we have characterized the automorphisms of quasiorthogonal, orthogonal, and strongly orthogonal weak Bernstein-Jordan algebras. In this paper we work on the minimal dimens...

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Bibliographic Details
Published inLinear algebra and its applications Vol. 196; pp. 125 - 138
Main Authors Fuenzalida, Ana, Labra, Alicia, Mallol, Cristian
Format Journal Article
LanguageEnglish
Published New York, NY Elsevier Inc 1994
Elsevier Science
Subjects
Algebra
Exact sciences and technology
Mathematics
Nonassociative rings and algebras
Sciences and techniques of general use
Characterization
Orthogonality
Automorphism
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Summary:The characterization of automorphisms of Bernstein algebras is an open problem. We only know some particular results. Previously we have characterized the automorphisms of quasiorthogonal, orthogonal, and strongly orthogonal weak Bernstein-Jordan algebras. In this paper we work on the minimal dimension with respect to quasiorthogonality, orthogonality, and strong orthogonality. We establish some classification theorems.
ISSN:0024-3795
1873-1856
DOI:10.1016/0024-3795(94)90319-0