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On strongly ϕ-w-Flat modules and Their Homological Dimensions

2023/02/02 by Wei Qi, Xiaolei Zhang, Qi, Wei +3
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.2302.00991

openalex publication_date 2023/02/02 · openalex created_date 2023/02/04 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce and study the notion of strongly ϕ-w-flat modules. The ϕ-w-weak global dimension ϕ-w-w.gl.dim(R) of an NP-ring R is also introduced and studied. We characterize ϕ-\Prufer v-multiplication strongly ϕ-rings in terms of strongly ϕ-w-flat modules.

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