A note on Closure Operators in Category of Modules

2003/03/25 by Vishvajit V. S. Gautam, Gautam, Vishvajit V. S.
Mathematics · #16D40 #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.RA #msc:16D40

paper · pdf · doi:10.48550/arxiv.math/0303314

5 pages. LaTex file

openalex publication_date 2003/03/25 · arxiv created 2003/07/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we give application of closure operators in category of modules. Our main result shows that every subcategory A of injective modules of R-mod (under a mild condition) induces a torsion theory of R-mod.

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