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

页码：439 / 472

页数：34

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