The polynomial ring over a Goldie ring need not be a Goldie ring
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Publication:2639939
DOI10.1016/0021-8693(90)90057-UzbMath0719.16015OpenAlexW1974984662MaRDI QIDQ2639939
Publication date: 1990
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(90)90057-u
Ordinary and skew polynomial rings and semigroup rings (16S36) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)
Related Items (21)
Armendariz and Reduced Rings ⋮ Injective classical quotient rings of polynomial rings are quasi- Frobenius ⋮ Unnamed Item ⋮ On a Generalized Finite Intersection Property ⋮ A GENERALIZATION OF REDUCED RINGS ⋮ On Annihilator Ideals of Pseudo-differential Operator Rings ⋮ Generalized Fitting modules and rings. ⋮ \(\sigma \)-PBW extensions of skew Armendariz rings ⋮ Polynomial rings over Goldie-Kerr commutative rings II ⋮ Two extensions of right G-semilocal and right N-semilocal rings ⋮ Examples of Armendariz Rings ⋮ Skew Hurwitz serieswise quasi-Armendariz rings ⋮ The Mori property in rings with zero divisors. II. ⋮ Polynomial Rings Over Goldie-Kerr Commutative Rings ⋮ Polynomials rings over Goldie rings ⋮ On right G-semilocal rings ⋮ On annihilator ideals of a polynomial ring over a noncommutative ring ⋮ Ore Extensions of Skew Armendariz Rings ⋮ Power Series Rings Satisfying a Zero Divisor Property ⋮ Modules with \(n\)-acc and the acc on certain types of annihilators. ⋮ On polynomial extensions of Mori domains over countable fields
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