Closed and prime ideals in free centred extensions

DOI10.1016/0021-8693(92)90233-CzbMath0763.16010MaRDI QIDQ1188121

Miguel Ferrero

Publication date: 13 August 1992

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

zbMATH Keywords

prime idealsextended centroidprime ringclosed idealfinite centralizing extensionsfree centred extension

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Ideals in associative algebras (16D25) Centralizing and normalizing extensions (16S20)

Related Items (7)

Centred bimodules over prime rings: Closed submodules and applications to ring extensions ⋮ Prime ideals in crossed products of abelian groups^∗ ⋮ Prime ideals and radicals of centred extensions and tensor products ⋮ A note on the primitivity of ring extensions ⋮ Prime and maximal ideals in polynomial rings ⋮ Polynomial rings over nil rings cannot be homomorphically mapped onto rings with nonzero idempotents ⋮ CLOSED AND PRIME IDEALS IN PARTIAL SKEW GROUP RINGS OF ABELIAN GROUPS

Cites Work

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• Prime and principal closed ideals in polynomial rings
• Prime ideals in differential operator rings and crossed products of infinite groups
• Prime ideals in restricted differential operator rings
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• Prime ideals in normalizing extensions
• Intermediate Normalizing Extensions
• The strongly prime radical of crossed products
• Prime ideals of graded rings and related matters
• Prime Ideals in Skew Polynomial Rings of Derivation Type
• Prime Ideals in Polycyclic Crossed Products
• Prime Ideals in Enveloping Rings
• A Note on Jacobson Rings and Polynomial Rings
• Liberal Extensions
• Prime Ideals in Intermediate Extensions

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