When are all prime ideals in an ore extension goldie?

DOI10.1080/00927878508823250zbMath0567.16002OpenAlexW2107396740MaRDI QIDQ3682618

Allen D. Bell

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1080/00927878508823250

zbMATH Keywords

skew polynomial ringsprime idealsOre extensionsright Goldie ringsskew Laurent ringsfinite intersections of right Goldie prime ideals

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items

Partial Skew Polynomial Rings: Prime and Maximal Ideals, On the semiprimitivity of skew polynomial rings, A study on skew Hurwitz series rings, Classification of factorial generalized down-up algebras., Study of skew inverse Laurent series rings, Maximal ideals of skew polynomial rings of automorphism type, Primeness, semiprimeness and prime radical of ore extensions, Primitivity of skew inverse Laurent series rings and related rings, Partial Skew Polynomial Rings and Jacobson Rings, Prime ideals in skew polynomial rings and quantized Weyl algebras, Prime ideals of ore extensions, A note on the Krull dimension of certain algebras, On the semiprimitivity of free skew extensions of rings, On Goldie Prime Ideals of Ore Extensions, Invariant polynomials of Ore extensions by $q$-skew derivations, A Note on Jacobson Rings and Polynomial Rings, Ore extensions and jacobson rings^∗, Semiprimeness, quasi-Baerness and prime radical of skew generalized power series rings

Cites Work

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