半对偶化对和半对偶化双模的一个刻画（英文）

SEMIDUALIZING PAIR AND A CHARACTERIZATION OF SEMIDUALIZING BIMODULES

在这篇文章中,我们引入并研究了Artin-代数上的半对偶化模对,它推广了由Miyashita定义的倾斜模对的概念.一方面,我们把有关半对偶化模的相关结论推广到了半对偶化模对上。另一方面在任意结合环R上,我们给出了半对偶化模的一个刻画.

In this note,we introduce and investigate a semidualizing pair over an Artin algebra,which extends the notion of tilting pair introduced by Miyashita.We extend some conclusions about semidualizing module to semidualizing pair.On the other hand,we give a characterization of a semidualizing module over any associative ring.