Blar i Institutt for matematiske fag på emneord "Matematiske fag, Algebra"

Viser treff 1-6 av 6

    • 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.

    • Hardness of Lattice Based Cryptography 

      Tunge, Thor (Master thesis, 2018)
      In this thesis we will discuss hard computational problems in lattice theory and relate them to cryptographic constructions. Many of these problems enjoy average-case hardness which makes them attractive for cryptography. ...

    • 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 ...

    • The Handling of Noise and Security of Two Fully Homomorphic Encryption Schemes 

      Hovd, Martha Norberg (Master thesis, 2017)
      Noise is introduced as a means to ensure security of encryption schemes in general, and fully homomorphic encryption schemes in particular. Strategies to control the growth of this and thereby guarantee correct decryption ...