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

dc.contributor.advisor	Dr. Heather Ries
dc.contributor.author	Ragland, Caedmon
dc.contributor.committeeMember	Dr. Chris Jantzen
dc.contributor.committeeMember	Dr. Michael Spurr
dc.date.accessioned	2024-08-29T14:11:39Z
dc.date.available	2024-08-29T14:11:39Z
dc.date.created	2024-07
dc.date.issued	July 2024
dc.date.submitted	July 2024
dc.date.updated	2024-08-27T19:14:03Z
dc.degree.college	Thomas Harriott College of Arts and Sciences
dc.degree.department	Mathematics
dc.degree.grantor	East Carolina University
dc.degree.major	MA-Mathematics
dc.degree.name	M.A.
dc.description.abstract	We 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.orcid	0000-0002-2952-5332
dc.format.mimetype	application/pdf
dc.identifier.uri	http://hdl.handle.net/10342/13697
dc.language.iso	English
dc.publisher	East Carolina University
dc.subject	Mathematics
dc.title	An Introduction to Categories and Homological Algebra: A Tale of Four Functors
dc.type	Master's Thesis
dc.type.material	text

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