位置：成果数据库 > 期刊 > 期刊详情页
构造群缠绕模范畴成为辫子张量范畴
  • ISSN号：1003-3998
  • 期刊名称：《数学物理学报：A辑》
  • 时间：0
  • 分类：O153.3[理学—数学;理学—基础数学]
  • 作者机构：[1]浙江师范大学数理与信息工程学院,浙江金华321004, [2]东南大学数学系,南京210096
  • 相关基金：国家自然科学基金（10571026）资助
作者： 刘玲[1], 王栓宏[2]
关键词： 群缠绕结构, 群缠绕模, 辫子张量范畴, 群余代数, Group entwining structure, Group entwined modules, Braided monoidal category, π-coalgebra
中文摘要：

该文研究了群缠绕模范畴怎样构造成张量范畴,给出的充分条件是要求群缠绕模中的代数和群余代数分别是双代数和半-Hopf群余代数,并满足一些相容条件.作者在张量群缠绕模范畴上构造了辫子.该文结果包括了拟三角和余拟三角Hopf代数（Hopf群余代数）,Doi-Hopf群模等情况.

英文摘要：

The authors investigate how the category of group entwined modules can be made into a monoidal category.It suffices that the algebra and 7r-coalgebra in question are bialge- bra and semi-Hopf 7r-coalgebra,with some extra compatibility relation.Braidings on a monoidal category of 7r-entwined modules are constructed.The construction unifies quasitriangular and coquasitriangular Hopf algebras（Hopfπ-coalgebras）,Doi-Hopfπ-modules.

同期刊论文项目
Faith猜测与余环的同调理论
期刊论文 88 著作 2
同项目期刊论文
Quasi-Armendariz modules
On strongly clean matrix and triangular matrix rings
$I$-semi-$\pi$-regular rings
Exchange general rings
Modules which are subisomorphic to their envelopes
Larson-Sweedler theorem and some properties of discrete type in ($G$-cograded) multiplier Hopf algeb
A note on relative flatness and coherence
$\pi$-morphic rings
p.p. properties of group rings.
On $(m,n)$-coherent modules and preenvelopes
Generalizations of morphic group rings
When is the 2X2 matrix ring over a commutative local ring strongly clean
Strongly clean power series rings
Extensions of injectivity and coherent rings.
On characterizations of Drazin inverse
Morphic Property of Extension Rings
Asympotic Bound on Binary Self-Orthogonal Codes
Extensions of McCoy rings
On $\bigoplus$-supplemented Modules and H-supplemented
Characterizations of QF rings
On the twisting and Drinfeld double for multiplier Hopf algebras.
On n-semihereditary and $n$-coherent rings
On strong Goldie dimension
On Relatively Semi-projective and Direct-projective
Group rings in which every element is uniquely the sum of a unit and an idempotent
New characterizations of quasi-Frobenius rings
An approach to the Faith-Menal conjecture
2-clean rings
On UR-rings
Rings satisfying UR-stable range
On Relatively Direct-injective and Continuous
Moritacontexts,pi-Galois extensions or Hopf pi-coalgebras.
Coquasitriangular Hopf group algebras and Drinfeld co-doubles.
Twisting theory for weak Hopf algebras.
Blattner-Cohen-Montgomery's duality theorem for (weak) group smash products
New braided?crossed categories and rinfel'd quantum double for weak Hopf group coalgebras,
The genelarized C.M.Z.-Theorem and a Drinfeld double construction forWT-coalgebras and graded quantu
Differenttial Calculi on Quantum Groupoids,
Morphic group rings
Rings in which elements are uniquely the sum of an idempotent and a unit that commute
Group corings.
$\alpha$-skew Armendariz modules and$\alpha$-semicommutative modules
Zip modules
Properties of Modules and Rings Relative to Some Matrices
On $FI$-extending Rings and Modules
Making the category of entwined modules into a braided monoidal category
Lax group corings
On group crossed products
On Braided Lie Structures of Algeras in the Categories of weak Hopf bimodules
Singular solutions to the quantum Yang-Baxter equations
On semilocal group rings.
A note on clean rings
The structure of ring $R[D,C]$ and its characterizations
Extensions of strongly $\pi$-regular general rings
A question on McCoy rings
Extensions of morphic rings
On strongly clean general rings
Relatively injective modules with respect to torsion theory
On VNL-rings and n-VNL-rings
态射和的Drazin逆
I-semi-π-regular Rings
关于F-覆盖的存在性
关于r-semiclean环
F-本质子模与F-多余子模
相对于余挠对的维数
Monoidal Entwined模范畴上的张量积恒等式
弱Hopf代数的扭曲理论
On minimal quasi-injective modules and strong Kasch modules
On （m, n）-Coherent Modules and Preenvelopes
Exchange一般环
拟半-clean环的若干研究
具有UR-稳定度的环
Hopf Algebras in Group Yetter-Drinfel＇d Categories
齐次半局部群环
On Relatively Semi-projective and Direct-projective Modules
弱M—Armendariz环
Twisting theory for weak Hopf algebras
关于均值单边检验的局限性
On Semilocal Group Rings
关于强Clean一般环
关于特殊的F-预复盖与F-预包络
强π-正则一般环的扩张
构造entwined模范畴成为辫子张量范畴
On FI-extending Rings and Modules
Hopf π-余代数上Doi-Hopf模的Maschke型定理（英文）
定数截尾下 Burr Type XII 分布的统计推断
期刊信息
  • 《数学物理学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院武汉物理与数学研究所
  • 主编：李邦河 陈贵强 朱熹平
  • 地址：湖北省武汉市武昌小洪山西路30号武汉71010信箱
  • 邮编：430071
  • 邮箱：actams@wipm.ac.cn
  • 电话：027-87199206
  • 国际标准刊号：ISSN：1003-3998
  • 国内统一刊号：ISSN：42-1226/O
  • 邮发代号:38-214
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:5382