D. Ssevviiri

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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.AC2025

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

David Ssevviiri

This is the third 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 show in…

math.AC2024

Modules (co)reduced relative to another module

Tilahun Abebaw, Amanuel Mamo, David Ssevviiri +1

Let $R$ be a commutative unital ring, $a$ an ideal of $R$ and $M$ a fixed $R$ -module. We introduce and study generalisations of $a$ -reduced modules, $\mathfr…

Applications of reduced and coreduced modules II: Radicality of the functor HomR​(R/I,−)

Locally prime modules

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

Modules (co)reduced relative to another module

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