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.

Annihilators of local cohomology modules

Laura R Lynch, University of Nebraska - Lincoln

Abstract

In many important theorems in the homological theory of commutative local rings, an essential ingredient in the proof is to consider the annihilators of local cohomology modules. We examine these annihilators at various cohomological degrees, in particular at the cohomological dimension and at the height or the grade of the defining ideal. We also investigate the dimension of these annihilators at various degrees and we refine our results by specializing to particular types of rings, for example, Cohen Macaulay rings, unique factorization domains, and rings of small dimension.^

Subject Area

Mathematics

Recommended Citation

Lynch, Laura R, "Annihilators of local cohomology modules" (2011). ETD collection for University of Nebraska - Lincoln. AAI3450097.
http://digitalcommons.unl.edu/dissertations/AAI3450097

Share

COinS