双边L-R smash积的Maschek定理(英文)  

MASCHKE THEOREM FOR TWO-SIDED L-R SMASH PRODUCTS

作　　者：落全枝[1] 李强[1] 

机构地区：[1]南京农业大学理学院,南京210095

出　　处：《南京大学学报（数学半年刊）》2010年第1期41-56,共16页Journal of Nanjing University(Mathematical Biquarterly)

基　　金：Supported by the Educational Minister Science Technology Key Foundation of China(108154).

摘　　要：在这篇论文中,我们首次对H双模代数A和B构造了一个新的代数A(?)H(?)B,称之为双边L-R smash积,并且给出A(?)H(?)B成为双代数的充要条件.最后,我们给出双边L-Rsmash积的Maschek定理.In this paper,we construct a new algebra A（？）H（？）B for H-bimodule algebra A and H-bimodule algebra B,which is called a two-sided L-R smash product,and give a sufficient and necessary condition for two-sided L-R smash products to be bialgebras.Then,we give the Maschke theorem for the two-sided L-R smash products.

关 键 词：双模代数 双余模代数 双边L-R SMASH积 

分 类 号：O153.3[理学—数学]