Simple Modules and Primitive Ideals of Non-Noetherian Generalized Down-Up Algebras

DOI10.1080/00927870802231304zbMath1167.16002OpenAlexW2114310725MaRDI QIDQ3619826

Iwan Praton

Publication date: 9 April 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802231304

zbMATH Keywords

simple modulesannihilatorsprimitive idealsdown-up algebrasweight modules

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Ideals in associative algebras (16D25)

Related Items (4)

Primitive Ideals of Noetherian Generalized Down-Up Algebras ⋮ Quantum generalized Heisenberg algebras and their representations ⋮ Classification of factorial generalized down-up algebras. ⋮ Projective resolutions of associative algebras and ambiguities.

Cites Work

• Unnamed Item
• Basic properties of generalized down-up algebras.
• Primitive Ideals of Noetherian Down-Up Algebras
• Simple Weight Modules of Non-Noetherian Generalized Down-Up Algebras
• PRIMITIVE IDEALS OF NON-NOETHERIAN DOWN-UP ALGEBRAS

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