具有非零分次基座的分次本原环的刻划

In this paper, we characterize the structure of group graded primitive rings having minimal graded one-sided ideals in terms of graded dual modules. We also show that two structure representations of this class of graded primitive rings are both in a sense uniquely determined by the graded primitive rings considered.  

Weak amenability of module extensions of Banach algebras

We start by discussing general necessary and sufficient conditions for a module extension Banach algebra to be -weakly amenable, for . Then we investigate various special cases. All these case studies finally provide us with a way to construct an example of a weakly amenable Banach algebra which is not -weakly amenable. This answers an open question raised by H. G. Dales, F. Ghahramani and N. Grønbæk.

  

关于对偶模的平坦性和内射性(Ⅱ)

对交换环Ｒ和Ｂ－模范畴上的一个内射余生成元Ｂ，我们用相对于Ｅ的对偶模的性质刻画了ＱＦ环，ＩＦ环和半遗传环．