Hom-Alternative, Hom-Malcev and Hom-Jordan Superalgebras

被引：7
|
作者：
Abdaoui, El Kadri [1 ]
Ammar, Faouzi [1 ]
Makhlouf, Abdenacer [2 ]
机构：
[1] Univ Sfax, Fac Sci Sfax, BP 1171, Sfax 3038, Tunisia
[2] Univ Haute Alsace, 4 Rue Freres Lumiere, F-68093 Mulhouse, France
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2017年 / 40卷 / 01期
关键词：
Hom-alternative superalgebra; Hom-Malcev superalgebra; Hom-Jordan algebra; LIE-ALGEBRAS; CLASSIFICATION;
D O I：
10.1007/s40840-016-0323-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Hom-alternative, Hom-Malcev and Hom-Jordan superalgebras are -graded generalizations of Hom-alternative, Hom-Malcev and Hom-Jordan algebras, which are Hom-type generalizations of alternative, Malcev and Jordan algebras. In this paper we prove that Hom-alternative superalgebras are Hom-Malcev-admissible and are also Hom-Jordan-admissible. Hom-type generalizations of some well known identities in alternative superalgebras, including the -graded Bruck-Kleinfeld function are obtained. Moreover some key constructions and examples are provided.
引用
收藏
页码：439 / 472
页数：34
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