COMMUNICATIONS IN ALGEBRA, cilt.2023, sa.51, ss.1-14, 2022 (SCI-Expanded)
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.