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A Noncommutative Catenoid
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
2017 (English)Independent thesis Basic level (degree of Bachelor), 10,5 credits / 16 HE creditsStudent thesis
Abstract [en]

Noncommutative geometry generalizes many geometric results from such fields as differential geometry and algebraic geometry to a context where commutativity cannot be assumed. Unfortunately there are few concrete non-trivial examples of noncommutative objects. The aim of this thesis is to construct a noncommutative surface  which will be a generalization of the well known surface called the catenoid. This surface will be constructed using the Diamond lemma, derivations will be constructed over  and a general localization will be provided using the Ore condition.

Place, publisher, year, edition, pages
2017. , p. 43
Keywords [en]
noncommutative, catenoid, noncommutative geometry, diamond lemma, noncommutative algebra, ore condition
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-139794ISRN: LiTH-MAT-EX--2017/14--SEOAI: oai:DiVA.org:liu-139794DiVA, id: diva2:1133689
Subject / course
Mathematics
Supervisors
Examiners
Available from: 2017-08-22 Created: 2017-08-16 Last updated: 2017-08-22Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
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  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
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  • asciidoc
  • rtf