JP Journal of Algebra, Number Theory and Applications
Volume 40, Issue 2, Pages 181 - 198
(April 2018) http://dx.doi.org/10.17654/NT040020181 |
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AN ALGORITHM FOR A CLASSIFICATION OF THREE-DIMENSIONAL LEIBNIZ ALGEBRAS OVER ARBITRARY FIELDS
I. S. Rakhimov, I. M. Rikhsiboev and M. A. Mohammed
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Abstract: This paper is devoted to the study of structure of Leibniz algebras. The classical methods to obtain classifications are essentially to solve a system of equations given by the identities of specified classes of algebras. In this work, some invariants were employed to obtain a complete list of three-dimensional Leibniz algebras over an arbitrary field and it is applied to classify three-dimensional Leibniz algebras over and
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Keywords and phrases: Leibniz algebra, classification, algorithm. |
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