Abstract
Inspired by the theory of linkage for ideals, the concept of sliding depth of a finitely generated module over a Noetherian local ring is defined in terms of its Ext modules. As a result, in the module-theoretic linkage theory of Martsinkovsky and Strooker, one proves the Cohen–Macaulayness of a linked module if the base ring is Cohen–Macaulay (not necessarily Gorenstein). Some interplay is established between the sliding depth condition and other module-theoretic notions such as the G-dimension and the property of being sequentially Cohen–Macaulay.
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.
