Browsing BI Open by Author "Eriksen, Eivind"

Now showing items 1-4 of 4

    • The algebra of observables in noncommutative deformation theory 

      Eriksen, Eivind; Siqveland, Arvid (Journal article; Peer reviewed, 2019)
      We consider the algebra O(M) of observables and the (formally) versal morphism η : A → O(M) defined by the noncommutative deformation functor DefM of a family M = {M1, . . . , Mr} of right modules over an associative ...

    • Geometry of noncommutative algebras 

      Eriksen, Eivind; Siqveland, Arvid (Journal article; Peer reviewed, 2011)
      There has been several attempts to generalize commutative algebraic geometry to the noncommutative situation. Localizations with good properties rarely exists for noncommutative algebras, and this makes a direct ...

    • Iterated Extensions and Uniserial Length Categories 

      Eriksen, Eivind (Peer reviewed; Journal article, 2020)
      In this paper, we study length categories using iterated extensions. We fix a field k, and for any family S of orthogonal k-rational points in an Abelian k-category A, we consider the category Ext(S) of iterated extensions ...

    • The Generalized Burnside Theorem in Noncommutative Deformation Theory 

      Eriksen, Eivind (Journal article; Peer reviewed, 2011)
      Let A be an associative algebra over a field k, and let be a finite family of right A-modules. A study of the noncommutative deformation functor Def of the family leads to the construction of the algebra A() of observables ...