Equivalences for noncommutative projective spaces

Mathematics – Rings and Algebras

Scientific paper

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New version containing important corrections. The last theorem of the previous version was removed due to a gap in its proof

Scientific paper

Following Artin and Zhang's formulation of noncommutative projective
geometry, we classify up a family of skew polynomial quadratic algebras up to
graded Morita equivalence and their corresponding noncommutative projective
spaces up to birational equivalences. We also study their point varieties and
provide examples of non-isomorphic noncommutative projective spaces.

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