2021/11/03 by Xiaolei Zhang, Zhang, Xiaolei, Guocheng Dai +5
Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2111.02221
openalex publication_date 2021/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We first introduce and study the notion of semi-regular flat modules, and then show that a ring R is a strong \Prufer ring if and only if every submodule of a semi-regular flat R-module is semi-regular flat, if and only if every ideal of R is semi-regular flat, if and only if every R-module has a surjective semi-regular flat (pre)envelope.