Integrality and prime ideals in fixed rings of P.I. rings

DOI10.1016/0022-4049(84)90084-7zbMath0529.16028OpenAlexW1973749512MaRDI QIDQ787254

Susan Montgomery, Lance W. Small

Publication date: 1984

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(84)90084-7

zbMATH Keywords

prime idealsdepthGelfand-Kirillov dimensionintegralityequivalent primesgroup actions on ringsSchelter-integral ring extensions

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Centralizing and normalizing extensions (16S20) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (8)

Invariants of the action of a semisimple Hopf algebra on PI-algebra ⋮ Prime ideals in fixed rings of free algebras ⋮ Unnamed Item ⋮ Integrality for PI-rings ⋮ Some Remarks on Affine Rings ⋮ Subrings of invariants for actions of finite-dimensional Hopf algebras ⋮ Actions of Linearly Reductive Groups on Pi-Algebras ⋮ Prime ideals in Hopf Galois extensions

Cites Work

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• Fixed rings of finite automorphism groups of associative rings
• Fixed rings and integrality
• Über die Gelfand-Kirillov-Dimension. (On the Gelfand-Kirillov-dimension)
• Identities and linear dependence
• Integral extensions of rings satisfying a polynomial identity
• Semiprime ideals in rings with finite group actions
• Idealizers and hereditary Noetherian prime rings
• Prime ideals in fixed rings
• Fixed Rings of Noetherian Rings
• Prime ideals in fixed rings II
• Rings with Fixed-Point-Free Group Actions

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