Induction Functors for Hom-Doi-Hopf Module Categories

被引：0

作者：

Jia, Ling ^{[1
]}

Xu, Xiangyuan ^{[1
]}

机构：

[1] Ludong Univ, Dept Math & Stat, Yantai, Peoples R China

来源：

FILOMAT | 2022年 / 36卷 / 10期

关键词：

monoidal Hom-Hopf algebra; Hom-integral; induction functor; ALGEBRAS;

D O I：

10.2298/FIL2210241J

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we mainly investigate a revised induction funtor to study Hom-Doi-Hopf modules and the coinvariant modules for Hom-Hopf comodule algebras.

引用

页码：3241 / 3247

页数：7

共 12 条

[1] MONOIDAL HOM-HOPF ALGEBRAS [J].

Caenepeel, S. ;

Goyvaerts, I. .

COMMUNICATIONS IN ALGEBRA, 2011, 39 (06) :2216-2240

[2] INDUCTION AND COINDUCTION FOR HOPF-ALGEBRAS - APPLICATIONS [J].

CAENEPEEL, S ;

RAIANU, S ;

VANOYSTAEYEN, F .

JOURNAL OF ALGEBRA, 1994, 165 (01) :204-222

[3] A TORSION THEORY FOR ABELIAN CATEGORIES [J].

DICKSON, SE .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1966, 121 (01) :223-&

[4]

Jia L, 2016, SOUTHEAST ASIAN BULL, V40, P511

[5]

Makhlouf A., 2008, J. Gen. Lie Theory Appl, V2, P52, DOI [10.4303/jglta/S070206, DOI 10.4303/jglta/S070206]

[6] Yetter-Drinfeld modules for Hom-bialgebras [J].

Makhlouf, Abdenacer ;

Panaite, Florin .

JOURNAL OF MATHEMATICAL PHYSICS, 2014, 55 (01)

[7] HOM-ALGEBRAS AND HOM-COALGEBRAS [J].

Makhlouf, Abdenacer ;

Silvestrov, Sergei .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2010, 9 (04) :553-589

[8] Hom-Lie Admissible Hom-Coalgebras and Hom-Hopf Algebras [J].

Makhlouf, Abdenacer ;

Silvestrov, Sergei .

GENERALIZED LIE THEORY IN MATHEMATICS, PHYSICS AND BEYOND, 2009, :189-+

[9] Induction functors and stable Clifford theory for Hopf modules [J].

VanOystaeyen, F ;

Zhang, YH .

JOURNAL OF PURE AND APPLIED ALGEBRA, 1996, 107 (2-3) :337-351

[10]

Yau D., ARXIV

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