HOM-ALTERNATIVE ALGEBRAS AND HOM-JORDAN ALGEBRAS

被引：0
作者：
Makhlouf, Abdenacer [1 ]
机构：
[1] Univ Haute Alsace, Lab Math Informat & Applicat, 6 Bis Rue Freres Lumiere, F-68093 Mulhouse, France
来源：
INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA | 2010年 / 8卷
关键词：
alternative algebra; Hom-alternative algebra; Jordan algebra; Hom-Jordan algebra;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main feature of Hom-algebras is that the identities defining the structures are twisted by homomorphisms. The purpose of this paper is to introduce Hom-alternative algebras and Hom-Jordan algebras. We discuss some of their properties and provide construction procedures using ordinary alternative algebras or Jordan algebras. Also, we show that a plus algebra of Hom-associative algebra leads to Hom-Jordan algebra.
引用
收藏
页码：177 / 190
页数：14
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