Primitive Ideals of Noetherian Down-Up Algebras

DOI10.1081/AGB-120027906zbMath1069.16024OpenAlexW4249092641MaRDI QIDQ3154465

Iwan Praton

Publication date: 14 January 2005

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

Full work available at URL: https://doi.org/10.1081/agb-120027906

zbMATH Keywords

relationsgeneratorsVerma modulesNoetherian ringsprimitive idealsdown-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) 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 (10)

Primitive Ideals of Noetherian Generalized Down-Up Algebras ⋮ Classification of factorial generalized down-up algebras. ⋮ Calabi–Yau properties of nontrivial Noetherian DG down-up algebras ⋮ INJECTIVE MODULES OVER DOWN-UP ALGEBRAS ⋮ PRIMITIVE IDEALS OF NON-NOETHERIAN 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 ⋮ Jordanian plane. ⋮ MONOLITHIC MODULES OVER NOETHERIAN RINGS ⋮ Projective resolutions of associative algebras and ambiguities.

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
• Noetherian down-up algebras
• Primitivity of Noetherian Down-Up Algebras
• Non-noetherian down-up algebras

This page was built for publication: Primitive Ideals of Noetherian Down-Up Algebras