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
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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