Non-finitely generated projective modules over generalized Weyl algebras |
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| Authors: | Pavel Příhoda Gena Puninski |
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| Institution: | 1. Charles University, Faculty of Mathematics and Physics, Department of Algebra, Sokolovská 83, Praha 8, 18675, Czech Republic;2. School of Mathematics, Manchester University, Alan Turing Building, Oxford Road, Manchester, M13 9PL, UK |
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| Abstract: | We classify infinitely generated projective modules over generalized Weyl algebras. For instance, we prove that over such algebras every projective module is a direct sum of finitely generated modules. |
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