Polynomial Rings Over Goldie-Kerr Commutative Rings

DOI10.2307/2160207zbMath0798.13006OpenAlexW4246667758MaRDI QIDQ4290830

Carl Faith

Publication date: 30 October 1994

Full work available at URL: https://doi.org/10.2307/2160207

zbMATH Keywords

valuation ringArtiniannessGoldie quotient ringKerr ring

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative Noetherian rings and modules (13E05) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (5)

Unnamed Item ⋮ Restricted iso-minimum condition ⋮ Endomorphism rings and tensor products of linearly compact modules ⋮ Polynomial rings over Goldie-Kerr commutative rings II ⋮ The Mori property in rings with zero divisors. II.

Cites Work

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• On polynomial extensions of Mori domains over countable fields
• An example of a Goldie ring whose matrix ring is not Goldie
• Injective classical quotient rings of polynomial rings are quasi- Frobenius
• Orders in Artinian rings
• On nil subrings
• The polynomial ring over a Goldie ring need not be a Goldie ring
• Annihilator ideals, associated primes and kasch-mccoy commutative rings
• Polynomial Rings Over Goldie Rings are Often Goldie
• Finitely Embedded Commutative Rings
• Finitely embedded modules over Noetherian rings
• Commutative rings whose quotients are Goldie
• Nil Rings Satisfying Certain Chain Conditions
• The embedding problem for Noetherian rings

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