Simple Modules Over Generalized Weyl Algebras and Their Associated Primes

DOI10.1080/00927872.2011.565104zbMath1281.16033OpenAlexW1985347300MaRDI QIDQ3145432

Hans Nordstrom

Publication date: 20 December 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.565104

zbMATH Keywords

simple modulesassociated primesgeneralized Weyl algebrasmaximal left ideals

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Rings of differential operators (associative algebraic aspects) (16S32) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Ideals in associative algebras (16D25) Representation theory of associative rings and algebras (16G99)

Related Items (1)

The prime spectrum and representation theory of the 2 × 2 reflection equation algebra

Cites Work

• Unnamed Item
• Finite dimensionality of \(\text{Ext}^ n\)'s and \(\text{Tor}_ n\)'s of simple modules over one class of algebras
• Prime ideals of Ore extensions over commutative rings
• Associated primes over Ore extensions.
• Basic properties of generalized down-up algebras.
• Weight modules over generalized Weyl algebras
• Indecomposable representations of generalized weyl algebras

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