On the Greenlees-May Duality and the Matlis-Greenlees-May Equivalence
Rings and Algebras
2024-04-12 v2 Commutative Algebra
Representation Theory
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.
Keywords
Cite
@article{arxiv.2209.14596,
title = {On the Greenlees-May Duality and the Matlis-Greenlees-May Equivalence},
author = {Abebaw Tilahun and Mamo S. Amanuel and Ssevviiri David and Teshome Zelalem},
journal= {arXiv preprint arXiv:2209.14596},
year = {2024}
}
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23 pages