Browsing NTNU Open by Author "Solberg, Øyvind"

Now showing items 21-33 of 33

    • On the structure and cohomology ring of connected Hopf algebras 

      Erdmann, Karin; Solberg, Øyvind; Wang, Xingting (Peer reviewed; Journal article, 2019)
      Let p be a prime, and k be a field of characteristic p. We investigate the algebra structure and the structure of the cohomology ring for the connected Hopf algebras of dimension p3, which appear in the classification ...

    • Path Algebras of Coverings and Twisted Tensor Products 

      Unneland, Tobias Dysthe (Master thesis, 2015)
      The first part of the thesis introduces and discusses the twisted tensor product of two algebras. This is then used to show how the path algebra of a covering quiver relates to the quiver it is a covering of. In the end ...

    • Post-Quantum Multivariate Cryptography - A Study of Gui and GeMSS Signature Schemes using Gröbner Bases 

      Follan, Øyvind (Master thesis, 2018)
      The main goal of this thesis is to analyze and compare the two signature schemes Gui and GeMSS, both submitted to the Post-Quantum Cryptography Standardization Process initiated by the National Institute of Standards and ...

    • Quivers and admissible relations of tensor products and trivial extensions 

      Skartsæterhagen, Øystein Ingmar (Master thesis, 2011)
      We show how to find quotients of path algebras isomorphic to tensor products, triangular matrix algebras and trivial extensions.

    • Quivers, Gröbner bases, and tensor products 

      Anundsen, Jon Wallem (Master thesis, 2022)
      Vi presenterer teori for Gröbner-basis i algebraer med multiplikativ basis, og spesielt for Gröbner-basis i vei-algebraer. Vi viser hvordan man kan konstruere tensorproduktet $\Lambda \otimes_K \Gamma$ av algebraer $\Lambda$ ...

    • Reduction techniques for the finitistic dimension 

      GREEN, EDWARD L.; PSAROUDAKIS, CHRYSOSTOMOS; Solberg, Øyvind (Journal article, 2021)
      In this paper we develop new reduction techniques for testing the finiteness of the finitistic dimension of a finite dimensional algebra over a field. Viewing the latter algebra as a quotient of a path algebra, we propose ...

    • Right Gröbner Basis Theory and Systems of Equations Over Algebras 

      Zulić, Enes (Bachelor thesis, 2023)
      Målet med denne bachelor-oppgaven er å gi en metode for å finne løsninger av homogene systemer av lineære ligninger over veialgebraer ved bruk av høyre Gröbnerbasis-steori. Den vil introdusere tosidige Gröbnerbasiser og ...

    • Support Varieties for Finite Dimensional Algebras 

      Sandøy, Mads Hustad (Master thesis, 2016)
      We give a presentation of the theory of support varieties for finite dimensional algebras A using the Hochschild cohomology ring. Our presentation is especially focused on the finite generation hypotheses an algebra must ...

    • Support varieties—an axiomatic approach 

      Buan, Aslak Bakke; Krause, Henning; Snashall, Nicole; Solberg, Øyvind (Journal article; Peer reviewed, 2019)
      We provide an axiomatic approach for studying support varieties of objects in a triangulated category via the action of a tensor triangulated category, where the tensor product is not necessarily symmetric. This is illustrated ...

    • Text Classification via Topological Data Analysis 

      Løvlie, Bendik (Master thesis, 2023)
      Moderne generative språkmodeller som ChatGPT har en bemerkelsesverdig evne til å generere tekster som er vanskelige å skille fra menneskeskrevne tekster. Topologisk dataanalyse (TDA) brukes til å studere formen på data, ...

    • The Extended Golay Codes as Ideals 

      Hov, Erlend (Master thesis, 2016)
      We define a multiplication on the ambient spaces of the extended binary and ternary Golay codes that results in these codes becoming left ideals in their ambient spaces. We use fixed-point-free permutation groups to define ...

    • Tilting and Relative Theories in Subcategories 

      Mohammed, Soud (Doktoravhandlinger ved NTNU, 1503-8181; 2008:39, Doctoral thesis, 2008)
      We show that, over an artin algebra, the tilting functor preserves (co)tilting modules in the subcategories associated to the functor. We also give a sufficient condition for the category of modules of finite projective ...

    • Tree Modules for Quiver Representations 

      Lund, Arthur (Bachelor thesis, 2022)
      Gitt et kogger $\Gamma$ over $k$ av Dynkin $D_n$ type, vil antallet måter å uttrykke tremoduler med 0-1-matriser - eller koeffisientkogger (CQer) - studeres. Etter en introduksjon av teorien, vet vi at gitt et kogger av ...