论文标题
在绿色的二元性和matlis-greenlees-may等价上
On the Greenlees-May Duality and the Matlis-Greenlees-May Equivalence
论文作者
论文摘要
让a成为一个交换性的Unital环，并且是一个理想。我们在A模块的链复合物以及A模块的衍生类别中定义和研究A还原的复合物和A型复合物。我们表明，这两种类型的络合物产生了众所周知的绿色二元性的变体，以及上述类别中的Matlis-Greenlees-May等效性。
Let A be a commutative unital ring and a an ideal in it. We define and study a-reduced complexes and a-coreduced complexes in both the category of chain complexes of A-modules as well as in the derived category of A-modules. We show that these two types of complexes give rise to variants of the well known Greenlees-May duality and the Matlis-Greenlees-May equivalence in the aforementioned categories.
