Simple Weight Modules of Non-Noetherian Generalized Down-Up Algebras

DOI10.1080/00927870601042183zbMath1137.16004OpenAlexW2078233085MaRDI QIDQ3430287

Iwan Praton

Publication date: 21 March 2007

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

Full work available at URL: https://doi.org/10.1080/00927870601042183

zbMATH Keywords

simple modulesdown-up algebrasweight modules

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (4)

Primitive Ideals of Noetherian Generalized Down-Up Algebras ⋮ Classification of factorial generalized down-up algebras. ⋮ Simple Modules and Primitive Ideals of Non-Noetherian Generalized Down-Up Algebras ⋮ Automorphisms of Generalized Down-Up Algebras

Cites Work

• Down-up algebras
• Basic properties of generalized down-up algebras.
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