Primeness, semiprimeness and prime radical of ore extensions
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Publication:4349710
DOI10.1080/00927879708826000zbMath0879.16016OpenAlexW2010441842MaRDI QIDQ4349710
André Leroy, Jerzy Matczuk, Tsit-Yuen Lam
Publication date: 2 December 1997
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927879708826000
Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Ideals in associative algebras (16D25)
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Cites Work
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- Radicals of crossed products of enveloping algebras
- Jacobson radical of skew polynomial rings and skew group rings
- Prime ideals in skew polynomial rings and quantized Weyl algebras
- Prime ideals of ore extensions
- On Radicals of Skew Polynomial Rings of Derivation Type
- When are all prime ideals in an ore extension goldie?
- Skew Polynimials and Jacobson Rings
- Noetherian Ore Extensions and Jacobson Rings
- A note on semiprimitivity of ore extensions
- A skew polynomial ring over a jacobson ring need not be a jacobson ring
- Prime ideals in skew and 𝑞-skew polynomial rings
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