PRIMITIVE IDEALS OF NON-NOETHERIAN DOWN-UP ALGEBRAS

DOI10.1081/AGB-200047448zbMath1079.16011OpenAlexW1974214515MaRDI QIDQ4678664

Iwan Praton, Stephen May

Publication date: 23 May 2005

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

Full work available at URL: https://doi.org/10.1081/agb-200047448

zbMATH Keywords

primitive idealsdown-up algebrasnon-Noetherian rings

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) 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) Ideals in associative algebras (16D25)

Related Items (4)

Primitive Ideals of Noetherian Generalized Down-Up Algebras ⋮ Classification of factorial generalized down-up algebras. ⋮ Down–up algebras over a polynomial base ring 𝕂[t₁,…,t_n] ⋮ Simple Modules and Primitive Ideals of Non-Noetherian Generalized Down-Up Algebras

Cites Work

• Unnamed Item
• Down-up algebras
• Centers of down-up algebras
• Down-up algebras and their representation theory
• Down-up algebras and ambiskew polynomial rings
• Primitive Ideals of Noetherian Down-Up Algebras
• Noetherian down-up algebras
• Primitivity of Noetherian Down-Up Algebras
• Non-noetherian down-up algebras
• CENTERS OF DOWN-UP ALGEBRAS OVER FIELDS OF PRIME CHARACTERISTIC
• A Hopf structure for down-up algebras

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