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
收藏
页码：2600 / 2614
页数：15
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