D. Ssevviiri

collaborators

5 papers

math.AC2026

Applications of reduced and coreduced modules II: Radicality of the functor $Hom_{R} (R / I, -)$

David Ssevviiri

This is the second in a series of papers highlighting the applications of reduced and coreduced modules. Let $R$ be a commutative unital ring and $I$ be an ideal of $R$ . We give ne…

math.AC2026

Locally prime modules

Sholastica Luambano, David Ssevviiri

For a commutative unital ring $R$ with fixed ideals $I$ and $J$ , we introduce and study $I$ -prime $R$ -modules and $(I, J)$ -prime $R$ -modules together with their duals $I$ -coprime $…

math.RA2025

Nil modules and the envelope of a submodule

David Ssevviiri, Annet Kyomuhangi

Let $R$ be a commutative unital ring and $N$ be a submodule of an $R$ -module $M$ . The submodule $⟨ E_{M} (N)⟩$ generated by the envelope $E_{M} (N)$ of $N$ is instrumental in…

math.QA2025

A Cousin Complex for the Quantum Projective Space

Kobi Kremnizer, David Ssevviiri

Grothendieck constructed a Cousin complex for abelian sheaves on an arbitrary topological space. In a special setting, its dual called the BGG resolution is applicable in represent…

math.AC2025

Applications of reduced and coreduced modules III: homological properties and coherence of functors