9 citations · 9 across the 5 of their papers we have counts for
5 papers
Modules (co)reduced relative to another module
Tilahun Abebaw, Amanuel Mamo, David Ssevviiri +1
Let be a commutative unital ring, an ideal of and a fixed -module. We introduce and study generalisations of -reduced modules, $\mathfr…
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…
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…
Decomposition factors of D-modules on hyperplane configurations in general position
Tilahun Abebaw, Rikard Bogvad
We calculate the decomposition series of the D-module defined as the push-forward of a rank one linear system on the complement of a normal crossings hyperplane configuration and u…
Decomposition of D-modules over a hyperplane arrangement in the plane
Tilahun Abebaw, Rikard Bøgvad
We consider the D-module defined as the push-forward of a rank one linear system on the complement of a central plane hyperplane arrangement, and calculate its decomposition series…