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math.RA2022
On the Greenlees-May Duality and the Matlis-Greenlees-May Equivalence
Abebaw Tilahun, Mamo S. Amanuel, Ssevviiri David +1
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 w…
math.AC2022
Reduced submodules of finite dimensional polynomial modules
Tilahun Abebaw, Nega Arega, Teklemichael Worku Bihonegn +1
Let be a field with characteristic zero, be the ring and be a monomial ideal of . We study the Artinian local algebra when considered as…