Subrings of Noetherian Rings

DOI10.2307/2039890zbMath0267.13009OpenAlexW4245813135WikidataQ56093197 ScholiaQ56093197MaRDI QIDQ5685202

Arun Vinayak Jategaonkar, Edward W. Formanek

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/2039890

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Commutative Noetherian rings and modules (13E05)

Related Items (28)

Soluble normal subgroups of skew linear groups ⋮ Solvable Linear Groups over Division Rings ⋮ Simple modules and their essential extensions for skew polynomial rings ⋮ Goldie Conditions in Finite Normalizing Extensions ⋮ Soluble-by-periodic skew linear groups ⋮ Affine commutative-by-finite Hopf algebras ⋮ Some constructions of rings of finite global dimension ⋮ Unique factorisation rings ⋮ On the characterization of primitive ideals in enveloping algebras ⋮ A note on intermediate normalising extensions ⋮ \(S\)-injective modules ⋮ Eakin-Nagata-Eisenbud theorem for right \(S\)-Noetherian rings ⋮ Projectivity of countable direct products. ⋮ The Cohen Macaulay property for noncommutative rings ⋮ Finite normalizing extensions of rings ⋮ Normalizing extensions: Prime ideals and incomparability ⋮ The Dixmier-Moeglin equivalence for cocommutative Hopf algebras of finite Gelfand-Kirillov dimension. ⋮ Faithful Noetherian Modules ⋮ Envelopes of commutative rings ⋮ Associative rings ⋮ Integral extensions of rings satisfying a polynomial identity ⋮ Finitely Embedded Modules Over Group Rings ⋮ Group rings with finite endomorphism dimension ⋮ On absolutely irreducible skew linear groups in characteristic zero ⋮ On irreducible modules over $q$-skew polynomial rings and smash products ⋮ Locally nilpotent skew linear groups ⋮ Finite subnormalizing extensions of rings ⋮ Intermediate Normalizing Extensions

Cites Work

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• Noetherian and Artinian chain conditions of associative rings
• The converse to a well known theorem on Noetherian rings
• Endomorphism rings of modules over PI-algebras
• A type of subrings of a noetherian ring
• Subrings of Artinian and Noetherian rings
• Noetherian Pi-Rings
• Faithful Noetherian Modules

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