The Greenless-May Duality and the MGM Equivalence in the category of chain complexes
A Tilahun, MS Amanuel, S David, T Zelalem - arXiv preprint arXiv …, 2022 - arxiv.org
Let $ A $ be a commutative unital ring. We prove the MGM equivalence and the Greenless-
May duality in the category of chain complexes of $ A $-modules. This extends the above …
May duality in the category of chain complexes of $ A $-modules. This extends the above …
Modules (co) reduced relative to another module
T Abebaw, A Mamo, D Ssevviiri, Z Teshome - arXiv preprint arXiv …, 2024 - arxiv.org
Let $ R $ be a commutative unital ring, $\mathfrak {a} $ an ideal of $ R $ and $ M $ a fixed $
R $-module. We introduce and study generalisations of $\mathfrak {a} $-reduced modules …
R $-module. We introduce and study generalisations of $\mathfrak {a} $-reduced modules …
Reduced submodules of finite dimensional polynomial modules
T Abebaw, N Arega, TW Bihonegn… - arXiv preprint arXiv …, 2022 - arxiv.org
Let $ k $ be a field with characteristic zero, $ R $ be the ring $ k [x_1,\cdots, x_n] $ and $ I $
be a monomial ideal of $ R $. We study the Artinian local algebra $ R/I $ when considered …
be a monomial ideal of $ R $. We study the Artinian local algebra $ R/I $ when considered …
[PDF][PDF] The Greenless-May Duality and the MGM Equivalence in the category of chain complexes
T Abebaw, A Mamo, D Ssevviiri… - arXiv preprint arXiv …, 2022 - academia.edu
Let A be a commutative unital ring. We prove the MGM equivalence and the Greenless-May
duality in the category of chain complexes of A-modules. This extends the above notions …
duality in the category of chain complexes of A-modules. This extends the above notions …