The classification of <i>N</i>-dimensional non-associative Jordan algebras with (<i>N</i> − 3)-dimensional annihilator
A. S. HegaziDepartment of Mathematics, Faculty of Sciences, Mansoura University, Mansoura, EgyptHani AbdelwahabDepartment of Mathematics, Faculty of Sciences, Mansoura University, Mansoura, Egypt
2017en
ABI
Abstract
The paper is devoted to give a complete classification of all n-dimensional non-associative Jordan algebras with (n−3)-dimensional annihilator over an algebraically closed field of characteristic ≠2. We also give a complete classification of all n-dimensional Jordan algebras with (n−1)- and (n−2)-dimensional annihilator.
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