Frobenius Singularities of Algebraic Sets of Matrices

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dc.contributor.authorYerlanov, Madi
dc.contributor.otherKadyrsizova, Zhibek
dc.contributor.otherSica, Francesco
dc.date.accessioned2019-08-08T06:11:36Z
dc.date.available2019-08-08T06:11:36Z
dc.date.issued2019-08-07
dc.description.abstractWhen one studies certain rings, it is natural to classify them according to certain properties. This project focuses on the study of properties of commutative rings associated with algebraic sets. In particular, we consider the algebraic set of pairs of square matrices whose commutator has a zero diagonal. We prove that it is irreducible and F-regular for matrices of all sizes and when the matrix entries are from a eld of positive prime characteristic. In addition, we provide a proof of its F-purity and nd a system of parameters on it. Moreover, we state several conjectures associated to this topic.en_US
dc.identifier.citationYerlanov, M. (2019). Frobenius Singularities of Algebraic Sets of Matrices. Nazarbayev University, School of Science and Technologyen_US
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/4092
dc.language.isoenen_US
dc.publisherNazarbayev University School of Science and Technologyen_US
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/us/*
dc.subjectFrobenius singularitiesen_US
dc.subjectmatricesen_US
dc.titleFrobenius Singularities of Algebraic Sets of Matricesen_US
dc.typeCapstone Projecten_US
workflow.import.sourcescience

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