The Coalgebra Structure over Hom-Hopf Algebra

被引：0

作者：

Naifeng ZHENG

机构：

[1] FacultyofScience,NingboUniversity

来源：

JournalofMathematicalResearchwithApplications | 2015年 / 35卷 / 06期

关键词：

Hom-Hopf algebra; Hom-ω-crossed coproduct; ω-crossed coproduct;

D O I：

暂无

中图分类号：

O153.3 [环论];

学科分类号：

070104 ;

摘要：

Let(C, α) and(H, β) be Hom-bialgebras and ω : C H → H  C a linear map.We introduce the concept of a Hom-ω-crossed coproduct(Cω σ H, γ) and we give necessary and sufficient conditions for the new object to be a Hom-Hopf algebra.

引用

页码：605 / 612

页数：8

共 7 条

[1] Hom-ω-smash余积Hopf代数上的辫化结构 [J].

郑乃峰 .

数学物理学报, 2013, 33 (06) :1068-1088

[2]

Hom-quantum groups: I. Quasi-triangular Hom-bialgebras[J] . Donald Yau. Journal of Physics A: Mathematical and Theoretical . 2012 (6)

[3]

Monoidal Hom–Hopf Algebras[J] . S. Caenepeel,I. Goyvaerts. Communications in Algebra . 2011 (6)

[4]

On hom-algebras with surjective twisting[J] . Aron Gohr. Journal of Algebra . 2010 (7)

[5]

Hom-algebra structures[J] . Makhlouf,Abdenacer,Silvestrov,Sergei D. Journal of Generalized Lie Theory and Applications . 2008 (2)

[6]

The Factorization Problem and the Smash Biproduct of Algebras and Coalgebras[J] . S. Caenepeel,Bogdan Ion,G. Militaru,Shenglin Zhu. Algebras and Representation Theory . 2000 (1)

[7]

Finite Hopf-Galois Coextensions, Crossed Coproducts, and Duality[J] . S. Dascalescu,S. Raianu,Y.H. Zhang. Journal of Algebra . 1995 (2)

← 1 →