Blar i BI Open på forfatter "Eriksen, Eivind"
-
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 generalization ... -
Iterated Extensions and Uniserial Length Categories
Eriksen, Eivind (Journal article; Peer reviewed, 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 ... -
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 ...