Algorithm to compute abelian subalgebras and ideals in Malcev algebras

被引：1

作者：

Ceballos, M. ^{[1
]}

Nunez, J. ^{[1
]}

Tenorio, A. F. ^{[2
]}

机构：

[1] Univ Seville, Fac Matemat, Dept Geometria & Topol, C Tarfia S-N, E-41012 Seville, Spain

[2] Univ Pablo de Olavide, Escuela Politecn Super, Dept Econ Metodos Cuantitat & Hist Econ, Ctra Utrera Km 1, Seville 41013, Spain

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 16期

关键词：

Malcev algebra; abelian subalgebra; abelian ideal; invariant; algorithm; DIMENSION;

D O I：

10.1002/mma.3940

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：4892 / 4900

页数：9

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