2022/11/26 by Xiaolei Zhang, Zhang, Xiaolei, Xing, Shiqi +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2211.14681
openalex publication_date 2022/11/26 · openalex created_date 2022/12/10 · openalex updated_date 2026/07/28
In this paper, we first introduce and study the notions of strongly ϕ-flat modules and strongly nonnil-injective modules. And then, we investigate the homology dimensions of modules and rings in terms of these two notions. Finally we give a new homological characterizations of ϕ-Dedekind rings and ϕ-\Prufer rings.