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LEADER 02687cam 2200637 i 4500

001 on1456021843;

003 OCoLC;

005 20260112092734.0;

006 m o d ;

007 cr unu||||||||;

008 240916s2024 ncua obm 000 0 eng d;

035 a| (Sirsi) o1456021843;

035 a| (OCoLC)1456021843;

049 a| EREE;

090 a| QA169;

100 1 a| Ragland, Caedmon,e| author.?| UNAUTHORIZED;

245 13 a| An introduction to categories and homological algebra :b| a tale of four functors /c| by Caedmon Ragland.;

264 1 a| [Greenville, N.C.] :b| [East Carolina University],c| 2024.;

300 a| 1 online resources (113 pages) : illustrations;

336 a| textb| txt2| rdacontent;

337 a| computerb| c2| rdamedia;

338 a| online resourceb| cr2| rdacarrier;

347 a| text fileb| application/pdfc| 777.78 KB2| rda;

538 a| System requirements: Adobe Reader.;

538 a| Mode of access: World Wide Web.;

502 b| M.A.c| East Carolina Universityd| 2024.;

502 a| Presented to the Faculty of the Department of Mathematics;

500 a| Advisor: Heather Ries;

500 a| Title from PDF t.p. (viewed January 8, 2026).;

520 3 a| 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.;

504 a| Includes bibliographical references.;

650 0 a| Algebra, Homological.=| ^A22803;

650 0 a| Categories (Mathematics)=| ^A23638;

650 0 a| Group theory.=| ^A17120;

650 0 a| Mathematicsx| Study and teaching (Higher)=| ^A2085;

653 a| Extensions;

653 a| Introduction;

653 a| Elementary;

653 a| Category Theory;

653 a| Group;

653 a| Groups;

653 a| Abelian;

653 a| Ext;

653 a| Hom;

653 a| Tensor;

653 a| Tor;

700 1 a| Ries, Heather,e| degree supervisor.?| UNAUTHORIZED;

710 2 a| East Carolina University.b| Department of Mathematics.?| UNAUTHORIZED;

856 40 z| Access via ScholarShipu| http://hdl.handle.net/10342/13697;

949 o| wjh;

994 a| C0b| ERE;

596 a| 1 4;

998 a| 6477455;

999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 6477455-1001l| JNETm| JOYNERr| Ys| Yt| JNE3ETDu| 9/16/2024x| ETDz| JERESOURCE;

999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 6477455-2001l| HSLELECm| HSLr| Ys| Yt| HEETDu| 9/16/2024x| ETDz| HERESOURCE;

An introduction to categories and homological algebra : a tale of four functors / by Caedmon Ragland.

Author/creator	Ragland, Caedmon author.
Other author	Ries, Heather, degree supervisor.
Other author	East Carolina University. Department of Mathematics.
Format	Theses and dissertations
Publication	[Greenville, N.C.] : [East Carolina University], 2024.
Description	1 online resources (113 pages) : illustrations
Supplemental Content	Access via ScholarShip
Subjects	Algebra, Homological. Categories (Mathematics) Group theory. Mathematics--Study and teaching (Higher).

Summary	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.
General note	Advisor: Heather Ries
General note	Title from PDF t.p. (viewed January 8, 2026).
Dissertation note	M.A. East Carolina University 2024.
Dissertation note	Presented to the Faculty of the Department of Mathematics
Bibliography note	Includes bibliographical references.
Technical details	System requirements: Adobe Reader.
Technical details	Mode of access: World Wide Web.

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An introduction to categories and homological algebra : a tale of four functors / by Caedmon Ragland.

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