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.

Homological Criteria for Minimal Multiplicity

John Myers, University of Nebraska - Lincoln

Abstract

If a commutative noetherian local ring R happens to fall into one of several subclasses of such rings, then lower bounds on its Hilbert-Samuel multiplicity are known in terms of other numerical invariants; rings which achieve these lower bounds are said to have minimal multiplicity and have several desirable properties. This dissertation provides several homological criteria for a ring to have minimal multiplicity, some criteria based on the structure of Ext-algebras and others on a numerical homological invariant called linearity defect.^

Subject Area

Mathematics|Theoretical mathematics

Recommended Citation

Myers, John, "Homological Criteria for Minimal Multiplicity" (2017). ETD collection for University of Nebraska - Lincoln. AAI10272322.
http://digitalcommons.unl.edu/dissertations/AAI10272322

Share

COinS