TEKİR, ÜNSALKOÇ, SUAT2023-03-022023-03-022022-01-01Jayaram C., Uǧurlu E. A., TEKİR Ü., KOÇ S., "Locally torsion-free modules", Journal of Algebra and its Applications, 20220219-4988https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85125046948&origin=inwardhttps://hdl.handle.net/11424/287066© 2023 World Scientific Publishing Company.Recall that a commutative ring R is a locally integral domain if its localization RP is an integral domain for each prime ideal P of R. Our aim in this paper is to extend the notion of locally integral domains to modules. Let R be a commutative ring with a unity and M a nonzero unital R-module. M is called a locally torsion-free module if the localization MP of M is a torsion-free RP-module for each prime ideal P of R. In addition to giving many properties of locally torsion-free modules, we use them to characterize Baer modules, torsion free modules, and von Neumann regular rings.enginfo:eu-repo/semantics/closedAccessMatematikBilgisayar BilimleriTemel BilimlerMathematicsComputer ScienceNatural SciencesTemel Bilimler (SCI)MATEMATİK, UYGULAMALINatural Sciences (SCI)MATHEMATICSMATHEMATICS, APPLIEDAlgebra and Number TheoryPhysical SciencesApplied MathematicsBaer modulesBaer ringslocally integral domainslocally torsion-free modulesnormal modulesquasi-regular modulesquasi-regular ringstorsion-free modulesvon Neumann regular modulesvon Neumann regular ringsarticle10.1142/s0219498823501037