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Equivalences for noncommutative projective spaces

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arxiv 1001.4400 v3 pith:34HL4I3Y submitted 2010-01-25 math.RA

Equivalences for noncommutative projective spaces

classification math.RA
keywords noncommutativeprojectivespacesequivalencesalgebrasartinbirationalclassify
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Trivial extensions of Koszul Artin-Schelter regular algebras

    math.RA 2026-04 unverdicted novelty 6.0

    The stable category of graded MCM modules over S ⋉ S_σ(-1) is triangle equivalent to the bounded derived category of modules over the Koszul dual of the Zhang twist S^{σ^{-1}}.

  2. Point modules over the universal enveloping algebras of color Lie algebras

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    The set of point modules over the universal enveloping algebra of a color Lie algebra is determined and a concrete integer is given making the inverse system of truncated point schemes constant.

  3. Point modules over the universal enveloping algebras of color Lie algebras

    math.RA 2026-04 unverdicted novelty 5.5

    Point modules over AS-regular universal enveloping algebras of color Lie algebras are determined via q'-Heisenberg normal elements, with a concrete stabilization integer for truncated point schemes.