Ternary Hom-Jordan algebras induced by Hom-Jordan algebras

被引：2

作者：

Arfa, Anja ^{[1
,2
]}

Ben Hassine, Abdelkader ^{[2
,3
]}

Mabrouk, Sami ^{[4
]}

机构：

[1] Jouf Univ, Coll Sci & Arts Gurayat, Dept Math, Sakakah, Saudi Arabia

[2] Univ Sfax, Fac Sci, BP 1171, Sfax 3000, Tunisia

[3] Univ Bisha, Fac Sci & Arts Belqarn, Dept Math, POB 60, Sabt Al Alaya 61985, Saudi Arabia

[4] Univ Gafsa, Fac Sci, Gafsa, Tunisia

来源：

LINEAR & MULTILINEAR ALGEBRA | 2022年 / 70卷 / 19期

关键词：

Hom-Jordan algebras; ternary Hom-Jordan algebras; generalized derivations; quasiderivations; centroid; GENERALIZED DERIVATIONS; LIE-ALGEBRAS; NAMBU; DEFORMATIONS; COHOMOLOGY;

D O I：

10.1080/03081087.2020.1859441

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to study the relationships between a Hom-Jordan algebras and its induced ternary Hom-Jordan algebras. We give some properties of the alpha(k)-generalized derivation algebra GDer(J) of a ternary Hom-Jordan algebras. In particular, we prove that GDer(J) = QDer(J) + Q Gamma(J), the sum of the alpha(k)-quasiderivation algebra and the ak-quasicentroid. We also prove that QDer(J) can be embedded as derivations in a larger ternary Hom-Jordan algebras. General results on alpha(k)-centroids of ternary Hom-Jordan algebras are also developed in the paper.

引用

页码：3944 / 3968

页数：25

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