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Now showing items 1-7 of 7

#### The Cohomology Ring of a Finite Abelian Group

(University of Waterloo, 2013-01-25)

The cohomology ring of a finite cyclic group was explicitly computed by Cartan and Eilenberg in their 1956 book on Homological Algebra. It is surprising that the cohomology ring for the next simplest example, that of a ...

#### Maximal ideal space techniques in non-selfadjoint operator algebras

(University of Waterloo, 2013-04-26)

The following thesis is divided into two main parts. In the first part we study the problem of characterizing algebras of functions living on analytic varieties. Specifically, we consider the restrictions M_V of the ...

#### Complexity of Classes of Structures

(University of Waterloo, 2013-08-28)

The main theme of this thesis is studying classes of structures with respect to various measurements of complexity. We will briefly discuss the notion of computable dimension, while the breadth of the paper will focus on ...

#### The Eberlein Compactification of Locally Compact Groups

(University of Waterloo, 2013-01-24)

A compact semigroup is, roughly, a semigroup compactification of a locally compact group if it contains a dense homomorphic image of the group. The theory of semigroup compactifications has been developed in connection ...

#### The Prouhet-Tarry-Escott problem

(University of Waterloo, 2013-01-15)

Given natural numbers n and k, with n>k, the
Prouhet-Tarry-Escott (PTE) problem asks for distinct
subsets of Z, say X={x_1,...,x_n} and
Y={y_1,...,y_n}, such that
x_1^i+...+x_n^i=y_1^i+...+y_n^i\] for i=1,...,k. ...

#### Contributions to the model theory of partial differential fields

(University of Waterloo, 2013-08-28)

In this thesis three topics on the model theory of partial differential fields are considered: the generalized Galois theory for partial differential fields, geometric axioms for the theory of partial differentially closed ...

#### Digraph Algebras over Discrete Pre-ordered Groups

(University of Waterloo, 2013-01-25)

This thesis consists of studies in the separate fields of operator algebras and non-associative algebras. Two natural operator algebra structures, A ⊗_max B and A ⊗_min B, exist on the tensor product of two given unital ...