Generic flatness and the nullstellensatz for ore extensions

DOI10.1080/00927877908822347zbMath0402.16002OpenAlexW2065281486MaRDI QIDQ4186482

Ronald S. Irving

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1080/00927877908822347

zbMATH Keywords

(Right) Strong NullstellensatzG-IdealGeneric FlatnessIterated Ore ExtensionsJacobson Ring

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (12)

Prime Ideals in Differential Operator Rings. Catenarity ⋮ \(D\)-groups and the Dixmier-Moeglin equivalence ⋮ Centralisateurs dans les lorps de weyl ⋮ Ore extensions of Jacobson rings. ⋮ Generic freeness of modules over non-commutative domains ⋮ Primitive noetherian algebras with big centers ⋮ Generic flatness for strongly Noetherian algebras ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Krull dimension of noetherian algebras and extensions of the base field ⋮ On the primitivity of certain Ore extensions ⋮ Primitive ideals of certain Noetherian algebras ⋮ Modules

Cites Work

• Polynomial extensions of Jacobson rings
• Primitive ideals of group algebras of supersoluble groups
• Some primitive group rings
• Certaines algèbres de type fini sont des algèbres de Jacobson
• Group rings of polycyclic groups
• Jacobson-rings and Hilbert algebras with polynomial identities
• On the Finiteness of Certain Soluble Groups
• Ore Extensions and Polycyclic Group Rings
• Noetherian Ore Extensions and Jacobson Rings

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