Some Remarks on Affine Rings

DOI10.2307/2045720zbMath0606.16007OpenAlexW4236108916MaRDI QIDQ3744311

Lance W. Small, Susan Montgomery

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2045720

zbMATH Keywords

Krull dimensionfixed ringsidentity componentGelfand-Kirillov dimensionsgraded by a finite groupaffine Noetherian algebraprime affine PI-algebras

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Graded rings and modules (associative rings and algebras) (16W50) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Rings with polynomial identity (16Rxx)

Related Items (10)

First-order rigidity of rings satisfying polynomial identities ⋮ Morita equivalence of finitely presented algebras ⋮ GK-dimensions of corners and ideals ⋮ Azumaya algebras without involution ⋮ Unnamed Item ⋮ Nil subsets of graded algebras ⋮ Integrality for PI-rings ⋮ Finite generation of Lie algebras associated with associative algebras ⋮ On finitely presented algebras ⋮ Finite presentation

Cites Work

• Integrality and prime ideals in fixed rings of P.I. rings
• Addendum: Prime ideals in crossed products of finite groups
• Erratum to: Fixed rings and integrality
• Group-Graded Rings, Smash Products, and Group Actions
• Prime ideals in fixed rings
• Fixed Rings of Noetherian Rings
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• Unnamed Item
• Unnamed Item
• Unnamed Item

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