Hom-Jordan algebras and their k-(a,b,c)-derivations

被引：2

作者：

Huang, Nan ^{[1
]}

Chen, Liangyun ^{[1
]}

Wang, Yan ^{[2
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China

[2] Tianjin Univ, Dept Math, Tianjin, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2018年 / 46卷 / 06期

关键词：

(k)-(a; b; c)-derivations; associators; derivations; Hom-Jordan algebras; right multiplications; NAMBU-LIE ALGEBRAS; T-ASTERISK-EXTENSIONS; GENERALIZED DERIVATIONS; NEAR-DERIVATIONS; SUPERALGEBRAS; REPRESENTATIONS;

D O I：

10.1080/00927872.2017.1392535

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 Hom-Jordan algebras. First, we give some methods to construct new Hom-Jordan algebras. Then we get some results of associators and right multiplications for a Hom-Jordan algebra. At last, we study derivations and (k)-(a,b,c)-derivations of Hom-Jordan algebras, and show that the dimension of D-V(alpha k)(a,b,c) is an invariant, the three original parameters of D-V(alpha k)(a,b,c) are in fact reduced to only one. Moreover, we obtain a relationship between D-V(alpha k)(a,b,c) and structure constants.

引用

页码：2600 / 2614

页数：15

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