Non-finitely generated projective modules over generalized Weyl algebras.

DOI10.1016/j.jalgebra.2008.11.015zbMath1167.16001OpenAlexW1994783354MaRDI QIDQ1014606

Gena Puninski, Pavel Příhoda

Publication date: 29 April 2009

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.11.015

zbMATH Keywords

direct sumsgeneralized Weyl algebrasrings of differential operatorsinfinitely generated projective modules

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Rings of differential operators (associative algebraic aspects) (16S32)

Related Items (3)

Reconstructing projective modules from its trace ideal. ⋮ Direct-sum decompositions of modules with semilocal endomorphism rings ⋮ Generalized lattices over one-dimensional Noetherian domains

Cites Work

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• Induced representations and projective modules
• Fair-sized projective modules.
• Noncommutative deformations of type-\(A\) Kleinian singularities
• \(K\)-theory of endomorphism rings and of rings of invariants
• The simple modules of certain generalized crossed products
• Module theory. Endomorphism rings and direct sum decompositions in some classes of modules
• On the \(K\)-theory and Hattori-Stallings traces of minimal primitive factors of enveloping algebras of semisimple Lie algebras: the singular case
• Hereditary Noetherian prime rings. III: Infinitely generated projective modules
• When every projective module is a direct sum of finitely generated modules
• Big projective modules are free
• On the Ideals of a Noetherian Ring
• K ₀ of Skew Group Rings and Simple Noetherian Rings without Idempotents
• A Rank Two Indecomposable Projective Module over a Noetherian Domain of Krull Dimension One
• Projective modules and their trace ideals
• Nonfree Projective Modules for Integral Group Rings
• A Note on Nonfinitely Generated Projective Zπ-Modules
• Idempotent Ideals in P.I. Rings
• K -Theory of Twisted Differential Operators
• Isomorphism problems and groups of automorphisms for generalized Weyl algebras

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