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dc.contributor.advisorMesyan, Zachary
dc.contributor.authorSaito, Ikuko
dc.contributor.committeememberAbrams, Gene
dc.contributor.committeememberChakravarty, Sarbarish
dc.date.accessioned2016-05-16T17:05:04Z
dc.date.available2016-05-16T17:05:04Z
dc.date.submitted2016-05
dc.descriptionIncludes bibliographical references.
dc.description.abstractBy a classical result, for any field F and a positive integer n, a matrix in Mn(F) is a commutator if only and if it has trace zero. This is no longer true if F is replaced with an arbitrary ring R. But the only known examples of matrices which have trace zero and are not commutators are of the size 2 × 2. The purpose of this thesis is to construct an n × n matrix for any positive integer n ≥ 2 which has trace zero but is not a commutator.
dc.identifierSaito_uccs_0892N_10174.pdf
dc.identifier.urihttp://hdl.handle.net/10976/166590
dc.languageEnglish
dc.publisherUniversity of Colorado Colorado Springs. Kraemer Family Library
dc.rightsCopyright of the original work is retained by the author.
dc.titleTraceless Matrices that are not Commutators
dc.typeThesis
thesis.degree.disciplineCollege of Letters, Arts, and Sciences-Mathematics
thesis.degree.grantorUniversity of Colorado Colorado Springs
thesis.degree.levelMasters
thesis.degree.nameMaster of Science (M.S.)


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