On normal modules Article Swipe

View

Related Concepts

Mathematics Commutative ring Finitely-generated abelian group Torsion (gastropod) Pure mathematics Prime (order theory) Projective module Associated prime Module Commutative property Discrete mathematics Combinatorics Surgery Medicine

C. Jayaram , Ünsal Tekı̇r , Suat Koç , Seçil Çeken ·

YOU? · · 2022 · Open Access · · DOI: https://doi.org/10.1080/00927872.2022.2137519 · OA: W4307331213

Recall that a commutative ring R is said to be a normal ring if it is reduced and every two distinct minimal prime ideals are comaximal. A finitely generated reduced R-module M is said to be a normal module if every two distinct minimal prime submodules are comaximal. The concepts of normal modules and locally torsion free modules are different, whereas they are equal in theory of commutative rings. We give many properties and examples of normal modules, we use them to characterize locally torsion free modules and Baer modules. Also, we give the topological characterizations of normal modules.