Open Access. Powered by Scholars. Published by Universities.®

Digital Commons Network

Open Access. Powered by Scholars. Published by Universities.®

Mathematics

PDF

Theses Digitization Project

Theses/Dissertations

Algebra

Articles 1 - 11 of 11

Full-Text Articles in Entire DC Network

An Investigation Of Kurosh's Theorem, Keith Anthony Earl Jan 2010

An Investigation Of Kurosh's Theorem, Keith Anthony Earl

Theses Digitization Project

The purpose of this project will be an exposition of the Kurosh Theorem and the necessary and suffcient condition that A must be algebraic and satisfy a P.I. to be locally finite.


The Fundamental Group And Van Kampen's Theorem, Aaron Christopher Thomas Jan 2009

The Fundamental Group And Van Kampen's Theorem, Aaron Christopher Thomas

Theses Digitization Project

This thesis deals with the field of algebraic topology. Basic topological facts are addressed including open and closed sets, continuity, homeomorphisms, and path connectedness as well as discussing Van Kampen's Theorem in detail.


The Universal Coefficient Theorem For Cohomology, Michael Anthony Rosas Jan 2009

The Universal Coefficient Theorem For Cohomology, Michael Anthony Rosas

Theses Digitization Project

This project is an expository survey of the Universal Coefficient Theorem for Cohomology. Algebraic preliminaries, homology, and cohomology are discussed prior to the proof of the theorem.


Chinese Remainder Theorem And Its Applications, Jacquelyn Ha Lac Jan 2008

Chinese Remainder Theorem And Its Applications, Jacquelyn Ha Lac

Theses Digitization Project

No abstract provided.


The Solvability Of Polynomials By Radicals: A Search For Unsolvable And Solvable Quintic Examples, Robert Lewis Beyronneau Jan 2005

The Solvability Of Polynomials By Radicals: A Search For Unsolvable And Solvable Quintic Examples, Robert Lewis Beyronneau

Theses Digitization Project

This project centers around finding specific examples of quintic polynomials that were and were not solvable. This helped to devise a method for finding examples of solvable and unsolvable quintics.


Solutions To The Chinese Postman Problem, Kenneth Peter Cramm Jan 2000

Solutions To The Chinese Postman Problem, Kenneth Peter Cramm

Theses Digitization Project

Considering the Chinese Postman Problem, in which a mailman must deliver mail to houses in a neighborhood. The mailman must cover each side of the street that has houses, at least once. The focus of this paper is our attempt to discover the optimal path, or the least number of times each street is walked. The integration of algorithms from graph theory and operations research form the method used to explain solutions to the Chinese Postman Problem.


Knot Theory And Wild Knots, Cherie Annette Reardon Jan 1999

Knot Theory And Wild Knots, Cherie Annette Reardon

Theses Digitization Project

No abstract provided.


Presentations Of Direct Products Of Metacyclic Groups, Jared Everett Derksen Jan 1997

Presentations Of Direct Products Of Metacyclic Groups, Jared Everett Derksen

Theses Digitization Project

No abstract provided.


Characterizing The Strong Two-Generators Of Certain Noetherian Domains, Ellen Yvonne Green Jan 1997

Characterizing The Strong Two-Generators Of Certain Noetherian Domains, Ellen Yvonne Green

Theses Digitization Project

No abstract provided.


Polynomial Equations And Solvability: A Historical Perspective, Laurie Jan Riggs Jan 1996

Polynomial Equations And Solvability: A Historical Perspective, Laurie Jan Riggs

Theses Digitization Project

No abstract provided.


Semisimplicity For Hopf Algebras, Michelle Diane Stutsman Jan 1996

Semisimplicity For Hopf Algebras, Michelle Diane Stutsman

Theses Digitization Project

No abstract provided.