2017/05/18 by Juma Kasozi, Kasozi, Juma, David Ssevviiri +3
Mathematics · #16D50 #16D60 #16L60 #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.1705.06411
openalex publication_date 2017/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let Red(M) be the sum of all reduced submodules of a module M. For modules over commutative rings, Soc(M)⊆ Red(M). By drawing motivation from how Soc-injective modules were defined by Amin et. al. in \citeamin2005, we introduce Red-injective modules, study their properties and use them to characterize quasi-Frobenius rings and V-rings.