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Browsing Auburn Theses and Dissertations by Author "Goeters, Pat"
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A-Stability For Two Species Competition Diffusion Systems
Nguyen, Tung (2006-08-15)
My dissertation research focuses on establishing the structural
stability of the attractor ($\mathcal{A}$-stability) via Morse-Smale
property for diffusive two-species competition systems
\begin{equation}
\label{abst ...
Mixed Groups with Decomposition Bases and Global k-Groups
Mathews, Chad (2006-08-15)
This thesis is devoted to proving assertions made without proof by Paul Hill and Charles Megibben in their fundamental papers regarding knice subgroups and the Axiom 3 characterization of global Warfield groups. The main ...
On the role of 1-LC and semi 1-LC properties in determining the fundamental group of a one point union of spaces
Moore, Emilia (2006-05-15)
Concerning the fundamental group of spaces written as a union of two topological
spaces, the result by Seifert and van Kampen is well known and frequently
used. Over the years there have been various theorems published ...
Torsionless Modules and Minimal Generating Sets for Ideals of Integral Domains
Brown, Wesley (2006-08-15)
This is a treatise of relationships between the number of elements necessary to generate the ideals of a domain and the
torsionless modules of that domain. Three types of domains are
identified according to natural ...
Triangle Centers and Kiepert's Hyperbola
Baker, Charla (2006-12-15)
In this paper, we discuss the proofs of the primary classical triangle centers and Kiepert's Hyperbola as a solution to Lemoine's Problem. The definitions of terms which will be used throughout the paper are presented. ...