Introduction to Non Commutative Algebraic Geometry
Journal article, Peer reviewed
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Original versionSiqveland, A. (2015). Introduction to Non Commutative Algebraic Geometry. J. Phys. Math., 6(1). doi: http://dx.doi.org/10.4172/2090-0902.1000133 http://dx.doi.org/10.4172/2090-0902.1000133
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 coordinate rings of non-commutative varieties.