【摘要】 研究T-代数上的Yetter-Drinfeld模的各种性质.设π是一个群,H为T-代数,主要得到如下一些结果:(1)给出了T-代数上的4种类型的α-Yetter-Drinfeld模及其范畴;(2)若M∈HYDHα,N∈HYDHβ,则M N∈HYDHαβ;(3)讨论了T-代数上的4种类型的α-Yetter-Drinfeld模范畴之间的等价关系;(4)T-代数上的Yetter-Drinfeld有限对偶仍是Yetter-Drinfeld模;(5)若M为有限维线性空间,M∈HYDHα,N∈HYDHβ,则Homk(M,N)∈HYDHα-1β.更多还原

【Abstract】 Yetter-Drinfeld modules over T-algebras are studied.Let π be a group and H a T-algebra,we get some results as follows:(1) put forward the four variations of Yetter-Drinfeld modules categories over T-algebra;(2) let M∈HYDHα,N∈HYDHβ,it shows that MN∈HYDHαβ;(3) discuss the equivalence relations among four variations of Yetter-Drinfeld modules categories over T-algebra;(4) the dual of finite Yetter-Drinfeld modules over T-algebras are still Yetter-Drinfeld modules;(5) let M be finite dimensional space,and M∈HYDHα,N∈HYDHβ,then Homk(M,N)∈HYHα-1β.更多还原