<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-09-20T11:16:37Z</responseDate><request verb="GetRecord" identifier="oai:wakespace.lib.wfu.edu:10339/90740" metadataPrefix="dim">https://wakespace.lib.wfu.edu/server/oai/request</request><GetRecord><record><header><identifier>oai:null:10339/90740</identifier><datestamp>2026-09-02T10:07:07Z</datestamp><setSpec>com_10339_14934</setSpec><setSpec>col_10339_38132</setSpec></header><metadata><dim:dim xmlns:dim="http://www.dspace.org/xmlns/dspace/dim" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.dspace.org/xmlns/dspace/dim http://www.dspace.org/schema/dim.xsd">
   <dim:field mdschema="dc" element="contributor" qualifier="author" lang="en_US">Lee, Woo Hyung</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="accessioned">2018-05-24T08:36:14Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="available">2018-05-24T08:36:14Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="issued" lang="en_US">2018</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="uri">https://wakespace.lib.wfu.edu/handle/10339/90740</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="abstract" lang="en_US">In this paper,  we will define and prove various properties of abelian categories,&#xd;
monoidal categories and tensor categories.  Then, we will show how to define a ring&#xd;
that represents a tensor category,  which will be called the Grothendieck Ring,  and&#xd;
prove that it constitutes a very specific type of ring called a&#xd;
Z&#xd;
+&#xd;
-ring.</dim:field>
   <dim:field mdschema="dc" element="language" qualifier="iso" lang="en_US">en</dim:field>
   <dim:field mdschema="dc" element="publisher" lang="en_US">Wake Forest University</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Algebra</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Category</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Grothendieck</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Tensor</dim:field>
   <dim:field mdschema="dc" element="title" lang="en_US">Tensor Categories, Z+-rings, and Grothendieck Rings</dim:field>
   <dim:field mdschema="dc" element="type" lang="en_US">Thesis</dim:field>
   <dim:field mdschema="thesis" element="contributor" qualifier="committeeChair" lang="en_US">Moore, William F</dim:field>
   <dim:field mdschema="thesis" element="contributor" qualifier="committeeMember" lang="en_US">Kirkman, Ellen</dim:field>
   <dim:field mdschema="thesis" element="contributor" qualifier="committeeMember" lang="en_US">Howards, Hugh</dim:field>
   <dim:field mdschema="thesis" element="degree" qualifier="discipline" lang="en_US">Mathematics and Statistics</dim:field>
   <dim:field mdschema="others" element="access-status">open.access</dim:field>
</dim:dim>
</metadata></record></GetRecord></OAI-PMH>