Aeknowledgemetns | 第1-4页 |
Abstract | 第4-5页 |
摘要 | 第5-7页 |
1 Introduction | 第7-10页 |
2 Dendriform dialgebras and Associative algebras | 第10-29页 |
·Rota-Baxter algebras, dendriform dialgebras and associative algebra | 第10-16页 |
·Rota-Baxter algebras | 第10-12页 |
·Rota-Baxter type algebras | 第12-16页 |
·The Hopf algebra of rooted trees, binary trees and dendriform dialgebra | 第16-29页 |
·Connected Hopf algebras | 第16-17页 |
·Rooted trees and Binary trees | 第17-19页 |
·The Hopf-algebra of rooted trees | 第19-21页 |
·The Hopf algebra of binary trees | 第21-23页 |
·Relationship with Hopf algebra on dendriform dialgebra of planar binary trees | 第23-29页 |
3 Associative dialgebras and Associative algebras | 第29-61页 |
·An introduction to associative dialgebras | 第29-35页 |
·Annihilators of associative dialgebras | 第35-40页 |
·Relationship between the category of associative dialgebras and the cate-gory of associative algebras | 第40-41页 |
·Nilpotency of associative dialgebras | 第41-44页 |
·the Radical of Dialgebras | 第44-48页 |
·Semisimple associative dialgebras | 第48-58页 |
·Artinian associative dialgebras are Noetherian | 第58-61页 |
BibliograPhy | 第61-62页 |