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dc.contributor.advisorFink, John B., 1945-
dc.contributor.authorKausch, David
dc.descriptioniv, 32 p.en_US
dc.description.abstractThe Fundamental Theorem of Arithmetic states that every integer greater than 1 is either a prime or the product of primes. This product is unique up to rearranging the order of the primes. Unique factorization is a property of the integers that is often taken for granted. What kind of algebraic systems have this property? What other properties of the integers do we also take for granted? And, most importantly, do there exist algebraic systems with different properties than the integers? These questions are the heart of this project. This paper presents the conditions for unique factorization and loosens these conditions to create a hierarchy of integral domains.en_US
dc.publisherKalamazoo Collegeen_US
dc.relation.ispartofKalamazoo College Mathematics Senior Individualized Projects Collection
dc.relation.ispartofseriesSenior Individualized Projects. Mathematics.;
dc.rightsU.S. copyright laws protect this material. Commercial use or distribution of this material is not permitted without prior written permission of the copyright holder.
dc.titleUnique Factorization Domains and Generalizationsen_US
KCollege.Access.ContactIf you are not a current Kalamazoo College student, faculty, or staff member, email to request access to this thesis.

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  • Mathematics Senior Individualized Projects [248]
    This collection includes Senior Individualized Projects (SIP's) completed in the Mathematics Department. Abstracts are generally available to the public, but PDF files are available only to current Kalamazoo College students, faculty, and staff.

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