Hwankoo Kim

collaborators

2 papers

math.AC2026

$S$ -Prime and $S$ -maximal ideals in trivial ring extensions of commutative rings

Hwankoo Kim, Najib Mahdou, El Houssaine Oubouhou

This paper explores the study of $S$ -prime and $S$ -maximal ideals in the context of trivial ring extensions $A ⋉ M$ . Through counterexamples, we demonstrate that $S$ -prime (r…

math.AC2025

Module-Theoretic Characterizations of Prufer $v$ -Multiplication Domains

Xiaolei Zhang, Hwankoo Kim

We present unified $w$ -theoretic characterizations of PrÃ¼fer $v$ -multiplication domains (P $v$ MDs). A module-theoretic perspective shows that torsion submodules are $w$ -pure, and f…

S-Prime and S-maximal ideals in trivial ring extensions of commutative rings

Module-Theoretic Characterizations of Prufer v-Multiplication Domains

$S$ -Prime and $S$ -maximal ideals in trivial ring extensions of commutative rings

Module-Theoretic Characterizations of Prufer $v$ -Multiplication Domains