Weak Hom-bialgebras and weak Hom-Hopf algebras

被引：0
|
作者：
Chebel, Zoheir [1 ]
Makhlouf, Abdenacer [2 ]
机构：
[1] Univ Mentouri Constantine 1, UMC, Inst Math, BP 325 Route Ain El Bey 25017, Constantine, Algeria
[2] Univ Haute Alsace, Lab Math Informat & Applicat, Mulhouse, France
来源：
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE | 2018年 / 61卷 / 01期
关键词：
Horn-associative algebra; Weak Hom-bialgebra; weak Hom-Hopf algebra;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this paper is to introduce and study weak Hom-bialgebras and weak Hom-Hopf algebras. We provide relevant definitions, properties and constructions by twisting. Moreover, we extend to these classes of algebras, Kaplansky's procedure to construct weak Hom-bialgebras and weak Hom-Hopf algebras starting from any Hom-associative algebra and Hom-bialgebra.
引用
收藏
页码：23 / 38
页数：16
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