Show simple item record

dc.contributor.authorIsmail, Cameron Ford
dc.date.accessioned2017-07-11T16:09:14Z
dc.date.available2017-07-11T16:09:14Z
dc.identifier.urihttp://hdl.handle.net/123456789/3503
dc.description.abstractIn 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.titleFree Algebras
dc.date.updated2017-07-11T16:09:14Z
dc.language.rfc3066en


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record