S. Luambano

collaborators

2 papers

math.AC2026

Sets of Lengths of Integer-Valued Polynomials on Prime Ideals of Principal Ideal Domains

Zaituni Kansiime, Sholastica Luambano, Sarah Nakato +2

Let $D$ be a principal ideal domain with infinite spectrum such that for every nonzero prime ideal $M$ of $D$ , the residue field $D / M$ is finite. Let $K$ be the quotient field of $…

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 $…