• Affine varieteter og Zariski-topologi 

      Tahir, Fizzah (Master thesis, 2023)
      Denne avhandlingen er en faglig oppgave som omhandler ulike temaer i matematikk. Målet er å ta opp to ulike temaer som studenter vil møte på universitetet dersom de velger å studere matematiske fag etter endt videregående ...
    • The algebra of observables in noncommutative deformation theory 

      Eriksen, Eivind; Siqveland, Arvid (Peer reviewed; Journal article, 2019)
      We consider the algebra of observables and the (formally) versal morphism defined by the noncommutative deformation functor of a family of right modules over an associative k-algebra A. By the Generalized Burnside Theorem, ...
    • Are Beginning Calculus and Engineering Students Adequately Prepared for Higher Education? An Assessment of Students’ Basic Mathematical Knowledge 

      Nortvedt, Guri A.; Siqveland, Arvid (Journal article; Peer reviewed, 2018)
      Are students transitioning from the secondary level to university studies in mathematics and engineering adequately prepared for education at the tertiary level? In this study, we discuss the prior mathematical knowledge ...
    • Glatte mangfoldigheter av dimensjon 2 

      Kopmann, Ann-Victorie (Master thesis, 2023)
      Besvarelsen er en faglig besvarelse i matematikk, nærmere bestemt inn på topologi og glatte mangfoldigheter. Oppgaven skal ta for seg teoretisk beskrivelse av disse emnene, med eksempeloppgaver underveis som er med på å ...
    • Introduction to Non Commutative Algebraic Geometry 

      Siqveland, Arvid (Journal article; Peer reviewed, 2015)
      Ordinary commutative algebraic geometry is based on commutative polynomial algebras over an algebraically closed field k. Here we make a natural generalization to matrix polynomial k-algebras which are non-commutative ...
    • The non commutative compactification of r-bundles* 

      Siqveland, Arvid (Rapporter fra Høgskolen i Buskerud, Research report; Peer reviewed, 2003-12)
    • Physical Interpretation of Noncommutative Algebraic Varieties 

      Siqveland, Arvid (Journal article; Peer reviewed, 2015)
      The theory of algebraic varieties gives an algebraic interpretation of differential geometry, thus of our physical world. To treat, among other physical properties, the theory of entanglement, we need to generalize the ...