Blar i Institutt for realfag og industrisystemer på forfatter "Siqveland, Arvid"
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The algebra of observables in noncommutative deformation theory
Eriksen, Eivind; Siqveland, Arvid (Peer reviewed; Journal article, 2019)We consider the algebra of observables and the (formally) versal morphism defined by the noncommutative deformation functor of a family of right modules over an associative k-algebra A. By the Generalized Burnside Theorem, ... -
Are Beginning Calculus and Engineering Students Adequately Prepared for Higher Education? An Assessment of Students’ Basic Mathematical Knowledge
Nortvedt, Guri A.; Siqveland, Arvid (Journal article; Peer reviewed, 2018)Are students transitioning from the secondary level to university studies in mathematics and engineering adequately prepared for education at the tertiary level? In this study, we discuss the prior mathematical knowledge ... -
Introduction to Non Commutative Algebraic Geometry
Siqveland, Arvid (Journal article; Peer reviewed, 2015)Ordinary commutative algebraic geometry is based on commutative polynomial algebras over an algebraically closed field k. Here we make a natural generalization to matrix polynomial k-algebras which are non-commutative ... -
Physical Interpretation of Noncommutative Algebraic Varieties
Siqveland, Arvid (Journal article; Peer reviewed, 2015)The theory of algebraic varieties gives an algebraic interpretation of differential geometry, thus of our physical world. To treat, among other physical properties, the theory of entanglement, we need to generalize the ...