Blar i NTNU Open på forfatter "Bergh, Petter Andreas"

Viser treff 1-20 av 31

    • Algebras of Finite Representation Type 

      Oldervoll, Marte (Master thesis, 2014)
      In this thesis we are considering finite dimensional algebras. We prove that any basic and indecomposable finite dimensional algebra A over an algebraically closed field k is isomorphic to a bound quiver algebra. Furthermore, ...

    • Categorical matrix factorizations 

      Bergh, Petter Andreas; Jorgensen, David A. (Peer reviewed; Journal article, 2023)

    • Classifying Subcategories in Quotients of Exact Categories - Classifying Triangulated and Thick Triangulated Subcategories of an Algebraic Triangulated Category 

      Arentz-Hansen, Emilie B (Master thesis, 2017)
      The goal of this thesis is to prove a one-to-one correspondence between (thick) triangulated subcategories of the stable category associated with a Frobenius category and certain subcategories of the Frobenius category. ...

    • Classifying Subcategories of Triangulated Categories 

      Haugland, Johanne (Master thesis, 2018)
      The topic of this thesis is classification of subcategories of triangulated categories. We first state and prove the Hopkins-Neeman theorem, which gives a bijection between thick subcategories of the derived category of ...

    • Classifying Tensor Triangulated Subcategories 

      Eggen, Magnus (Master thesis, 2018)
      We define triangulated and tensor triangulated categories, and classify the thick subcategories of a specific tensor triangulated category using Paul Balmer s theory on the categorical spectrum.

    • Dedekind zeta functions 

      Hagen, Markus Valås (Bachelor thesis, 2021)
      Vi gir en introduksjon til algebraisk tallteori med mål om å definere Dedekind-zetafunksjoner, samt bevise klassetallsformelen. Avslutningsvis bruker vi klassetallsformelen til å bevise Dirichlets teorem om primtall i ...

    • Elliptiske kurver over de rasjonale tallene 

      Edstrøm, Ole Martin (Bachelor thesis, 2020)
      Formålet med denne oppgaven er å se på elliptiske kurverover de rasjonale tallene, for så å bygge opp en gruppestruktur av de rasjonalepunktene på en elliptisk kurve. Videre vil oppgaven ta for seg og bevise to av demest ...

    • Enhanced Triangulated Categories 

      Skiftestad, Tord (Master thesis, 2023)
      I denne oppgaven studerer vi triangulerte kategorier som oppstår som kohomologien til visse differensialgraderte kategorier, og de som oppstår som den stabile kategorien til Frobeniuskategorier. Klassene av triangulerte ...

    • Faktorisering av idealar i Dedekindområder 

      Moldskred, Isabell (Bachelor thesis, 2023)
      I denne bacheloroppgåva studerer ein korleis ideal blir faktorisert til eit unikt produkt av primideal i eit Dedekindområde. Det er interessant at ideal har denne eigenskapen, sidan det ikkje nødvendigvis er slik at eit ...

    • Gröbner-baser og signaturskjemaet Unbalanced Oil and Vinegar 

      Kvåle, Jarle (Master thesis, 2009)
      Vi har i denne masteroppgaven sett nærmere på Gröbner-baser og signaturskjemaet Unbalanced Oil and Vinegar. Vi har sett nærmere på Gröbner-basenes definisjoner og sett hvordan Gröbner-baser kan genereres ved Buchbergers ...

    • Gröbnerbaser og kryptosystemet HFE 

      Kolden, Jon Inge (Master thesis, 2009)
      I denne masteroppgaven ser vi nærmere på Gröbner-baser og kryptosystemet Hidden Field Equations. Vi begynner med å se på flere algebraiske begreper knyttet til Gröbner-baser, og hvordan Gröbner-baser kan beregnes vha. ...

    • Hochschild cohomology, complexity and support varieties 

      Bergh, Petter Andreas (Doktoravhandlinger ved NTNU, 1503-8181; 2006:234, Doctoral thesis, 2006)
      This PhD-thesis consists of the five papers - On the Hochschild (co)homology of quantum exterior algebras, to appear in Comm. Algebra, -Complexity and periodicity, Coll. Math. 104 (2006), no. 2, 169-191, -Twisted support ...

    • Hochschild homology and trivial extension algebras 

      Bergh, Petter Andreas; Madsen, Dag Oskar (Journal article; Peer reviewed, 2017)
      We prove that if an algebra is either selfinjective, local or graded, then the Hochschild homology dimension of its trivial extension is infinite.

    • Idealfaktorisering i Dedekindområder 

      Øyen, Kristine Tynes (Master thesis, 2013)
      Vi har studert forskjellige klasser av integritetsområder og sett på noen egenskaper hos disse.Vi har definert et Dedekindområde og vist at ethvert ekte ikke-null ideal i et slikt område kan faktoriseres unikt til et produkt ...

    • Integral Group Cohomology 

      Sveinsson, Gunnar Arvid (Master thesis, 2017)
      In this thesis we look closer at properties of integral group cohomology. In particular, we introduce the Lyndon-Hochschild-Serre spectral sequence which has a useful product structure which we use to prove that the group ...

    • Matrix factorizations for quantum complete intersections 

      Bergh, Petter Andreas; Erdmann, Karin (Peer reviewed; Journal article, 2019)
      We introduce twisted matrix factorizations for quantum complete intersections of codimension two. For such an algebra, we show that in a given dimension, almost all the indecomposable modules with bounded minimal projective ...

    • Matrix factorizations for self-orthogonal categories of modules 

      Bergh, Petter Andreas; Thompson, Peder (Peer reviewed; Journal article, 2020)
      For a commutative ring S and self-orthogonal subcategory C of Mod(S), we consider matrix factorizations whose modules belong to C. Let f∈S be a regular element. If f is M-regular for every M∈C, we show there is a natural ...

    • Modules of Constant Jordan Type over Quantum Complete Intersections 

      Bergh, Petter Andreas; Erdmann, Karin; Jorgensen, David A. (Peer reviewed; Journal article, 2020)
      We initiate the study of modules of constant Jordan type for quantum complete intersections, and prove a range of basic properties. We then show that for these algebras, constant Jordan type is an invariant of Auslander-Reiten ...

    • On support varieties and tensor products for finite dimensional algebras 

      Bergh, Petter Andreas; Sandøy, Mads Hustad; Solberg, Øyvind (Peer reviewed; Journal article, 2020)
      It has been asked whether there is a version of the tensor product property for support varieties over finite dimensional algebras defined in terms of Hochschild cohomology. We show that in general no such version can ...

    • Realizability and the Avrunin-Scott theorem for higher-order support varieties 

      Bergh, Petter Andreas; Jorgensen, David Alan (Journal article; Peer reviewed, 2018)
      We introduce higher-order support varieties for pairs of modules over a commutative local complete intersection ring and give a complete description of which varieties occur as such support varieties. In the context of a ...