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Tensor Categories, Z+-rings, and Grothendieck Rings

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abstract
In this paper, we will define and prove various properties of abelian categories, monoidal categories and tensor categories. Then, we will show how to define a ring that represents a tensor category, which will be called the Grothendieck Ring, and prove that it constitutes a very specific type of ring called a Z + -ring.
subject
Algebra
Category
Grothendieck
Tensor
contributor
Lee, Woo Hyung (author)
Moore, William F (committee chair)
Kirkman, Ellen (committee member)
Howards, Hugh (committee member)
date
2018-05-24T08:36:14Z (accessioned)
2018-05-24T08:36:14Z (available)
2018 (issued)
degree
Mathematics and Statistics (discipline)
identifier
http://hdl.handle.net/10339/90740 (uri)
language
en (iso)
publisher
Wake Forest University
title
Tensor Categories, Z+-rings, and Grothendieck Rings
type
Thesis

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