| 1. | Weak global dimension of smash products of hopf algebras
代数的冲积的弱整体维数 |
| 2. | The crossproduct over weak hopf algebras
代数上的双重交叉积 |
| 3. | Some weaker structures of hopf algebras
代数的若干弱结构 |
| 4. | Integrality of module algebras over its invariant over weak hopf algebra
代数的模代数在其不变量上的积分 |
| 5. | Twisted products over weak hopf algebras
代数上的扭积 |
| 6. | Structure of weok hopf algebra wslq
2的代数结构 |
| 7. | Furthermore , we induce necessary and sufficient conditions for a # h to be a hopf algebra when h is a hopf algebra
并进一步，当h是hopf代数时，给出a # h为hopf代数的等价条件。 |
| 8. | Constructing new hopf algebras from known hopf algebras is one of the most important problems in hopf algebra theory
利用已知的hopf代数构造新的hopf代数是hopf理论中的重要研究课题。 |
| 9. | The author discusses the duality theorem of infinite dimensional hopf algebras in braided tensor categories in the first chapter , and shows the theorem by the use of braiding diagram
本文第一章讨论了辫子张量范畴中无限维hopf代数的对偶定理，应用辫子图对此定理给出证明，得到如下结果：命题2 |
| 10. | In the first section , we introduce some knowledge we need in this article . they are the definitions of quasitriangular hopf algebra . triangular hopf algebra . the theorem of the property of their modules category , and the property of r . in the second section
第一部分中，介绍了本文所需要的预备知识，主要是拟三角、三角hopf代数的定义，他们的模范畴的性质定理，以及r的性质。 |
