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Categories in algebra
Author
Sing, Siew Hoon
Supervisor
Zhao, Dongsheng
Abstract
Category theory provides a common framework for many branches of mathematics, especially topology and algebra. In this thesis, we mainly deal with those categories in algebra. Locally, the study of category theory helps in the understanding of the essence of important concepts in algebra such as injective mappings, subjective mappings, isomorphisms, identity elements and products, etc. Globally, it gives a way of comparing categories that used to be regarded as absolutely different things. The thesis yields a deeper understanding of the categories arising in algebra through the application of fundamental concepts in category theory, namely functors, natural transformations and adjoint functors.
Date Issued
1997
Call Number
QA612 Sin
Date Submitted
1997