An Introduction to Categories and Homological Algebra: A Tale of Four Functors

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dc.contributor.advisorRies, Heather
dc.contributor.authorRagland, Caedmon
dc.contributor.committeeMemberDr. Chris Jantzen
dc.contributor.committeeMemberDr. Michael Spurr
dc.date.accessioned2024-08-29T14:11:39Z
dc.date.available2024-08-29T14:11:39Z
dc.date.created2024-07
dc.date.issuedJuly 2024
dc.date.submittedJuly 2024
dc.date.updated2024-08-27T19:14:03Z
dc.degree.collegeThomas Harriott College of Arts and Sciences
dc.degree.departmentMathematics
dc.degree.grantorEast Carolina University
dc.degree.majorMA-Mathematics
dc.degree.nameM.A.
dc.description.abstractWe assume familiarity with group theory and discuss the technical background necessary to construct and understand the functors Hom, Ext, T or and tensor on the category of abelian groups, with special attention paid to Hom and Ext. In doing so, we hope to provide an introduction to the study of category theory and homological algebra understandable to an undergraduate with 1-2 semesters of abstract algebra.
dc.etdauthor.orcid0000-0002-2952-5332
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/10342/13697
dc.language.isoEnglish
dc.publisherEast Carolina University
dc.subjectExtensions
dc.subjectIntroduction
dc.subjectElementary
dc.subjectCategory Theory
dc.subjectGroup
dc.subjectGroups
dc.subjectAbelian
dc.subjectExt
dc.subjectHom
dc.subjectTensor
dc.subjectTor
dc.subject.lcshAlgebra, Homological
dc.subject.lcshCategories (Mathematics)
dc.subject.lcshGroup theory
dc.subject.lcshMathematics--Study and teaching (Higher)
dc.titleAn Introduction to Categories and Homological Algebra: A Tale of Four Functors
dc.typeMaster's Thesis
dc.type.materialtext

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