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dc.contributor.authorAshburner, Michelle Roshan Marie
dc.date.accessioned2008-09-29 14:23:29 (GMT)
dc.date.available2008-09-29 14:23:29 (GMT)
dc.date.issued2008-09-29T14:23:29Z
dc.date.submitted2008
dc.identifier.urihttp://hdl.handle.net/10012/4072
dc.description.abstractFor a given field F we seek all division algebras over F up to isomorphism. This question was first investigated for division algebras of finite dimension over F by Richard Brauer. We discuss the construction of the Brauer group and some examples. Crossed products and PI algebras are then introduced with a focus on Amitsur's non-crossed product algebra. Finally, we look at some modern results of Bell on the Gelfand-Kirillov dimension of finitely generated algebras over F and the classification of their division subalgebras.en
dc.language.isoenen
dc.publisherUniversity of Waterlooen
dc.subjectDivision Algebraen
dc.subjectCentral Simple Algebraen
dc.subjectCrossed Producten
dc.subjectPI Algebraen
dc.subjectGrowthen
dc.titleA Survey of the Classification of Division Algebrasen
dc.typeMaster Thesisen
dc.pendingfalseen
dc.subject.programPure Mathematicsen
uws-etd.degree.departmentPure Mathematicsen
uws-etd.degreeMaster of Mathematicsen
uws.typeOfResourceTexten
uws.peerReviewStatusUnrevieweden
uws.scholarLevelGraduateen


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