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arXiv · 2209.14596

On the Greenlees-May Duality and the Matlis-Greenlees-May Equivalence

Abebaw Tilahun·Mamo S. Amanuel·Ssevviiri David·Teshome Zelalem
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Abstract

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.

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Abebaw Tilahun, Mamo S. Amanuel, Ssevviiri David, Teshome Zelalem. 2022-09-29. On the Greenlees-May Duality and the Matlis-Greenlees-May Equivalence. https://arxiv.org/abs/2209.14596

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