Abstract
In this paper, we explore the relation between small cofinite irreducibles and cyclic submodules in the dual. As an application, we show that an Artinian module over a Noetherian local ring is the finite sum of submodules Ci, each of which has the property that every finitely generated submodule is contained in a cyclic submodule.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.