Free Algebras
| dc.contributor.author | Ismail, Cameron Ford | |
| dc.date.accessioned | 2018-04-26T13:20:05Z | |
| dc.date.available | 2018-04-26T13:20:05Z | |
| dc.date.updated | 2018-04-26T13:20:05Z | |
| dc.description.abstract | In this thesis, we develop a useful framework for studying the free (nonassociative) algebra on a set. This framework will be used to prove several results regarding subalgebras of a free algebra and quotient algebras of a free algebra by an ideal. In particular, we prove a result known as Kurosh's Theorem which, informally speaking, states that "every subalgebra of a free (nonassociative) algebra is free". During this process, we also develop a framework for studying the free magma on a set. | |
| dc.identifier.uri | http://hdl.handle.net/123456789/3652 | |
| dc.language.rfc3066 | en | |
| dc.title | Free Algebras |