Tensor Categories, Z+-rings, and Grothendieck Rings

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.

Grantor dc:publisher

Wake Forest University

Year dc:date.issued

2018

Author dc:creator

• Lee, Woo Hyung

• Algebra

Language dc:language.iso

en

Handle dc:identifier.uri

http://hdl.handle.net/10339/90740

OAI identifier oai:identifier

oai:wakespace.lib.wfu.edu:10339/90740