Primitive Ideals of Noetherian Generalized Down-Up Algebras

DOI10.1080/00927872.2010.522644zbMath1275.16002arXiv1003.2361OpenAlexW2062818714MaRDI QIDQ2902268

Iwan Praton

Publication date: 17 August 2012

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

Full work available at URL: https://arxiv.org/abs/1003.2361

zbMATH Keywords

simple modulesirreducible modulesprimitive idealsNoetherian generalized down-up algebras

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Universal enveloping (super)algebras (17B35) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Ideals in associative algebras (16D25) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (3)

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
• Down-up algebras
• Down-up algebras and ambiskew polynomial rings
• Basic properties of generalized down-up algebras.
• Primitive Ideals of Noetherian Down-Up Algebras
• A Class of Algebras Similar to the Enveloping Algebra of sl(2)
• Simple Weight Modules of Non-Noetherian Generalized Down-Up Algebras
• Simple Modules and Primitive Ideals of Non-Noetherian Generalized Down-Up Algebras
• Automorphisms of Generalized Down-Up Algebras
• Conformal S1₂ enveloping algebras
• PRIMITIVE IDEALS OF NON-NOETHERIAN DOWN-UP ALGEBRAS

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