THE QUASITRIANGULAR STRUCTURES FOR omega-SMASH COPRODUCT HOPF ALGEBRAS

Jiao ZM

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THE QUASITRIANGULAR STRUCTURES FOR omega-SMASH COPRODUCT HOPF ALGEBRAS

机译：ω-SMASH副产物Hopf代数的拟三角结构

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In this paper, the quasitriangular structures of omega-smash coproduct Hopf algebras B omega x H as constructed by Caenepeel, Ion, Militaru and Zhu were studied. Necessary and sufficient conditions for omega-smash coproduct Hopf algebras to be quasitriangular Hopf algebras are given in terms of properties of their components. As applications of our results, some special cases are discussed. Especially, The quasitriangular structures for D(H)* and H-4 omega x kZ(2) are constructed.

机译：本文研究了由Caenepeel，Ion，Militaru和Zhu共同构建的ω-粉碎副产物Hopf代数Hopf代数B omega x H的准三角结构。就ω-粉碎副产物霍夫代数成为准三角霍夫代数而言，给出了其成分的性质的充要条件。作为我们结果的应用，将讨论一些特殊情况。特别是，构造了D（H）*和H-4 omega x kZ（2）的准三角形结构。

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《Journal of algebra and its applications》 |2009年第5期|共15页
作者
Jiao ZM;
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正文语种 eng
中图分类代数、数论、组合理论;
关键词
Quasitriangular Hopf algebra; omega-smash coproduct Hopf algebra;

机译：拟三角Hopf代数;ω-粉碎副产物Hopf代数;

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专利

1. THE QUASITRIANGULAR STRUCTURES FOR omega-SMASH COPRODUCT HOPF ALGEBRAS [J] . Jiao ZM Journal of algebra and its applications . 2009,第5期

机译：ω-SMASH副产物Hopf代数的拟三角结构
2. A class of braided monoidal categories via quasitriangular Hopf pi-crossed coproduct algebras [J] . Ma Tianshui, Liu Linlin, Li Haiying Journal of algebra and its applications . 2015,第2期

机译：通过拟三角Hopfπ交联副产物代数的一类编织单极子类别
3. CONSTRUCTING QUASITRIANGULAR MULTIPLIER HOPF ALGEBRAS BY TWISTED TENSOR COPRODUCTS [J] . Wang SH, Van Daele A, Zhang YH Communications in algebra . 2009,第9期

机译：扭转张量副产物构造拟三角乘法霍夫代数
4. Recursive formulas to compute coproducts of finite Gödel algebras and related structures [C] . Stefano Aguzzoli, Pietro Codara IEEE International Conference on Fuzzy Systems . 2016

机译：计算有限Gödel代数和相关结构的副产物的递归公式
5. THE CYCLIC MODULE STRUCTURES OF THE HOPF SUBALGEBRA A2 OVER THE STEENROD ALGEBRA AND THEIR GEOMETRIC REALIZATION. [D] . ROTH, MARILYN JEAN -1

机译：斯登罗德代数上的Hopf子代数A2的循环模结构及其几何实现。
6. Plethystic Hopf algebras. [O] . G C Rota, J A Stein 1994

机译：Plethystic Hopf代数。
7. ON QUASITRIANGULAR STRUCTURES IN HOPF ALGEBRAS ARISING FROM EXACT GROUP FACTORIZATIONS [O] . Sonia Natale 2016

机译：关于由精确群集因子引起的HOpF代数的拟全局结构

THE QUASITRIANGULAR STRUCTURES FOR omega-SMASH COPRODUCT HOPF ALGEBRAS

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