CEBALLOS GONZÁLEZ, MANUEL, Nunez, J. , Tenorio, A. F.
Si
Math. Meth. Appl. Sci.
Article
Científica
1.017
0.698
01/11/2016
000385719500021
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.
Malcev algebra; abelian subalgebra; abelian ideal; invariant; invariant; algorithm