Normalizing extensions: Prime ideals and incomparability

DOI10.1016/0021-8693(81)90320-3zbMath0471.16018OpenAlexW4212941704MaRDI QIDQ1157385

A. G. Heinicke, J. Chris Robson

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90320-3

zbMATH Keywords

prime idealsJacobson radicalprimitive idealsincomparabilitynormal closurefinite normalizing extensionslying over

Mathematics Subject Classification ID

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

Related Items (29)

Computing the symmetric ring of quotients ⋮ Strongly prime and \(*\)-prime crossed products ⋮ Centred bimodules over prime rings: Closed submodules and applications to ring extensions ⋮ Prime ideals in restricted differential operator rings ⋮ Reduced rank and normalizing elements ⋮ Maximal covers of chains of prime ideals ⋮ A note on intermediate normalising extensions ⋮ Excellent extensions ⋮ Normalizing extensions: Nilpotency ⋮ Normalising elements and radicals, I. ⋮ Closed and prime ideals in free centred extensions ⋮ On full quotient rings of normalizing extensions ⋮ CLOSED SUBMODULES OF NORMALIZING BIMODULES OVER SEMIPRIME RINGS ⋮ The strongly prime radical of crossed products ⋮ Properties of normalizing extensions and fixed rings ⋮ Associative rings ⋮ The jacobson radical or semigroup ringb of commutative cancellative ⋮ Intermediate subrings of normalizing extensions: is there an ‘incomparability theorem’? ⋮ Twisted polynomial rings satisfying a polynomial identity ⋮ Non-holonomic modules over Weyl algebras and enveloping algebras ⋮ Normalizing extensions and injective modules, essentially bounded normalizing extensions ⋮ Extensions normalisantes et condition de goldie ⋮ Intermdiate normalizing extensions ⋮ Chain conditions in intermediate normalizing extensions ⋮ Normalizing extensions: Prime ideals and incomparability. II ⋮ Jacobson radicals and maximal ideals of normalizing extensions applied toZ-graded rings ⋮ Strongly normalizing extensions ⋮ Finite subnormalizing extensions of rings ⋮ Intermediate Normalizing Extensions

Cites Work

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• Addendum: Prime ideals in crossed products of finite groups
• Finite normalizing extensions of rings
• Prime ideals in normalizing extensions
• Generalized identities with automorphisms
• Crossed products over prime rings
• Normal radicals and normal classes of rings
• Prime rings satisfying a generalized polynomial identity
• Rings of quotients and Morita contexts
• Liberal Extensions
• Subrings of Noetherian Rings

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