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Articles 1 - 10 of 10
Full-Text Articles in Algebra
The Complexity Of Linear Algebra, Leann Kay Christensen
The Complexity Of Linear Algebra, Leann Kay Christensen
Theses Digitization Project
This study examines the complexity of linear algebra. Complexity means how much work, or the number of calculations or time it takes to perform a task. As linear algebra is used more and more in different fields, it becomes useful to study ways of reducing the amount of work required to complete basic procedures.
A Study Of Finite Symmetrical Groups, Patrick Kevin Martinez
A Study Of Finite Symmetrical Groups, Patrick Kevin Martinez
Theses Digitization Project
This study discovered several important groups that involve the classical and sporadic groups. These groups appeared as finite homomorphic images of the progenitors 3*8 : PGL₂(7), 2*¹⁴ : L₃ (2), 5*³ : S₃ and 7*2 : m S₃.
Construction Of Homomorphic Images, Stephanie Ann Hilber
Construction Of Homomorphic Images, Stephanie Ann Hilber
Theses Digitization Project
This thesis constructs several finite homomorphic images of infinite semi-direct products of the form 2*n:N.
Chinese Remainder Theorem And Its Applications, Jacquelyn Ha Lac
Chinese Remainder Theorem And Its Applications, Jacquelyn Ha Lac
Theses Digitization Project
No abstract provided.
Poincaré Duality, Christopher Michael Duran
Poincaré Duality, Christopher Michael Duran
Theses Digitization Project
This project is an expository study of the Poincaré duality theorem. Homology, cohomology groups of manifolds and other aglebraic and topological preliminaires are discussed.
The Solvability Of Polynomials By Radicals: A Search For Unsolvable And Solvable Quintic Examples, Robert Lewis Beyronneau
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.
Fundamental Theorem Of Algebra, Paul Shibalovich
Fundamental Theorem Of Algebra, Paul Shibalovich
Theses Digitization Project
The fundamental theorem of algebra (FTA) is an important theorem in algebra. This theorem asserts that the complex field is algebracially closed. This thesis will include historical research of proofs of the fundamental theorem of algebra and provide information about the first proof given by Gauss of the theorem and the time when it was proved.
Solutions To The Chinese Postman Problem, Kenneth Peter Cramm
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.
Presentations Of Direct Products Of Metacyclic Groups, Jared Everett Derksen
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
Characterizing The Strong Two-Generators Of Certain Noetherian Domains, Ellen Yvonne Green
Theses Digitization Project
No abstract provided.