Title Algorithm to compute abelian subalgebras and ideals in Malcev algebras
Authors CEBALLOS GONZÁLEZ, MANUEL, Nunez, J. , Tenorio, A. F.
External publication Si
Scope Article
Nature Científica
JCR Quartile 2
SJR Quartile 1
JCR Impact 1.017
SJR Impact 0.698
Publication date 01/11/2016
ISI 000385719500021
DOI 10.1002/mma.3940
Abstract In this paper, we introduce an algorithmic procedure that computes abelian subalgebras and ideals of a given finite-dimensional Malcev algebra. All the computations are performed by using the non-zero brackets in the law of the algebra as input. Additionally, the algorithm also computes the and invariants of these algebras, and as a supporting output, a list of abelian ideals and subalgebras of maximal dimension is returned too. To implement this algorithm, we have used the symbolic computation package MAPLE 12, performing a brief computational and statistical study for it and its implementation. Copyright (c) 2016 John Wiley & Sons, Ltd.
Keywords Malcev algebra; abelian subalgebra; abelian ideal; invariant; invariant; algorithm
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