Prime ideals of Ore extensions over commutative rings
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Publication:1254600
DOI10.1016/0021-8693(79)90341-7zbMath0399.16015OpenAlexW4213206394MaRDI QIDQ1254600
Publication date: 1979
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(79)90341-7
Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Centralizing and normalizing extensions (16S20) Representation theory of associative rings and algebras (16Gxx) Modules, bimodules and ideals in associative algebras (16Dxx)
Related Items (29)
Simple modules and their essential extensions for skew polynomial rings ⋮ Commutativity and ideals in pre-crystalline graded rings. ⋮ Commutativity and ideals in strongly graded rings. ⋮ ASSOCIATED PRIMES OVER ORE EXTENSION RINGS ⋮ On the semiprimitivity of skew polynomial rings ⋮ A q-analog for the virasoro algebra ⋮ Periodic subvarieties of semiabelian varieties and annihilators of irreducible representations ⋮ Ore extensions of Jacobson rings. ⋮ Irreducible *-representations of some group rings and associated Banach *-algebras ⋮ Weak associated primes over differential polynomial rings. ⋮ Associative rings ⋮ Prime ideals in skew polynomial rings and quantized Weyl algebras ⋮ Associated primes over Ore extensions. ⋮ Localization in Ore extensions of commutative Noetherian rings ⋮ Prime ideals of ore extensions ⋮ On a close relative of the quantum plane ⋮ On the primitivity of certain Ore extensions ⋮ Primitive ideals of certain Noetherian algebras ⋮ Prime ideals of Ore extensions over commutative rings. II ⋮ \(q\)-analogs of harmonic oscillators and related rings ⋮ Catenarity and Gelfand-Kirillov dimension in Ore extensions ⋮ On Some Degenerate Deformations of Commutative Polynomial Algebras ⋮ On Goldie Prime Ideals of Ore Extensions ⋮ On the structure of semi-invariant polynomials in Ore extensions. ⋮ On the ideals of the Radford Hopf algebras ⋮ Locally finite representations over Noetherian Hopf algebras ⋮ When are all prime ideals in an ore extension goldie? ⋮ Simple Modules Over Generalized Weyl Algebras and Their Associated Primes ⋮ Semiprimeness, quasi-Baerness and prime radical of skew generalized power series rings
Cites Work
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- Polynomial extensions of Jacobson rings
- Théorie de la descente et algèbres d'Azumaya
- Hilbert rings and the Hilbert Nullstellensatz
- Jacobsonsche Ringe, Hilbertscher Nullstellensatz, Dimensionstheorie
- Ore Extensions and Polycyclic Group Rings
- A skew polynomial ring over a jacobson ring need not be a jacobson ring
- A Note on Non-Commutative Polynomial Rings Subject to Degree-Preservation
- A Note on Noncommutative Polynomials
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