2 papers
math.AC2025
Module-Theoretic Characterizations of Prufer -Multiplication Domains
Xiaolei Zhang, Hwankoo Kim
We present unified -theoretic characterizations of Prüfer -multiplication domains (PMDs). A module-theoretic perspective shows that torsion submodules are -pure, and fo…
math.AC2023
On generalized fraction and power series properties of -Noetherian rings
Xiaolei Zhang
In this note, we study the generalized fraction properties and power series properties of -Noetherian rings. Actually, we investigate two questions proposed in [A. Dab…