Abstract
Let R be a commutative ring and let ℒ(σ) be a Gabriel filter of R such that R is σ-noetherian. We discuss the decomposition of the σ 1-torsion submodule of a σ-torsionfree R-module and characterize the σ l-injectivity of σ-closed R-modules through the σ m-injectivity of modules over noetherian local rings (S, m). As an application, we obtain new criteria to determine injectivity of modules over noetherian rings, of finite Krull dimension, and Krull domains.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
