Off-campus UNL users: To download campus access dissertations, please use the following link to log into our proxy server with your NU ID and password. When you are done browsing please remember to return to this page and log out.
Non-UNL users: Please talk to your librarian about requesting this dissertation through interlibrary loan.
Periodic modules over Gorenstein local rings
Abstract
It is proved that the minimal free resolution of a module M over a Gorenstein local ring R is eventually periodic if, and only if, the class of M is torsion in a certain [special characters omitted][t±1]-associated to R. This module, denoted J(R), is the free [special characters omitted][t±1]-module on the isomorphism classes of finitely generated R-modules modulo relations reminiscent of those defining the Grothendieck group of R. The main result is a structure theorem for J(R) when R is a complete Gorenstein local ring; the link between periodicity and torsion stated above is a corollary.
Subject Area
Applied Mathematics|Mathematics
Recommended Citation
Croll, Amanda, "Periodic modules over Gorenstein local rings" (2013). ETD collection for University of Nebraska-Lincoln. AAI3558415.
https://digitalcommons.unl.edu/dissertations/AAI3558415