2012/05/14 by Erol Yılmaz, Erol Yilmaz, Yilmaz, Erol +2
Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras #math.AC
paper · pdf · doi:10.48550/arxiv.1205.2983
arxiv created 2012/05/14 · openalex publication_date 2012/05/14 · arxiv updated 2012/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let N be a submodule of a finitely generated module M over a Noetherian ring. A method for the computation of the submodule generated by the envelope of N is given. The relations between weakly prime submodules and their envelopes are investigated. Using these relations, a description of the weakly radical of a submodule is obtained. The results are illustrated by examples.