| Title |
Algorithm to compute abelian subalgebras and ideals in Malcev algebras |
| Authors |
CEBALLOS GONZÁLEZ, MANUEL, Nunez, J. , Tenorio, A. F. |
| External publication |
Si |
| Means |
Math Methods Appl Sci |
| Scope |
Article |
| Nature |
Científica |
| JCR Quartile |
2 |
| SJR Quartile |
1 |
| JCR Impact |
1.01700 |
| SJR Impact |
0.69800 |
| 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 |
| Universidad Loyola members |
|
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