On the F-purity of Nearly Commuting Matrices

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dc.contributor.advisorKadyrsizova, Zhibek
dc.contributor.advisorMustafa, Manat
dc.contributor.authorRamazanov, Daniyar
dc.date.accessioned2026-05-12T11:29:56Z
dc.date.issued2026-05-12
dc.description.abstractWe study the algebraic set of nearly commuting matrices defined by the vanishing of the off-diagonal entries of the commutator matrix XY-YX. We prove that, over a field of prime characteristic, its coordinate ring is F-pure for n =4 in all characteristics except p = 2. We also present several conjectures for the case n = 5.
dc.identifier.citationRamazanov, D. (2026). On the F-purity of Nearly Commuting Matrices. Nazarbayev University School of Sciences and Humanities
dc.identifier.urihttps://nur.nu.edu.kz/handle/123456789/18586
dc.language.isoen
dc.publisherNazarbayev University School of Sciences and Humanities
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United Statesen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/
dc.subjectF-purity
dc.subjectNearly Commuting Matrices
dc.subjectCommutative Algebra
dc.titleOn the F-purity of Nearly Commuting Matrices
dc.typeMaster`s thesis

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