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Ideal classes of three dimensional Sklyanin algebras

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arxiv math/0503729 v1 pith:GZHRHJO3 submitted 2005-03-31 math.RA math.AG

classification math.RAmath.AG
keywords algebrasclassificationdimensionalidealsthreealgebraartin-scheltercertain
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In this paper we classify graded reflexive ideals, up to isomorphism and shift, in certain three dimensional Artin-Schelter regular algebras. This classification is similar to the classification of right ideals in the first Weyl algebra, a problem that was completely settled recently. The situation we consider is substantially more complicated however.

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Cited by 1 Pith paper

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  1. Nonexistence of phantom categories on very general noncommutative projective planes

    math.AG 2024-12 accept novelty 6.0 of 10

    Very general noncommutative projective planes do not admit phantom categories.

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