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The heart of prime ideals in Ore extensions

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Publication:1260151
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DOI10.1007/BF01954610zbMath0412.16008MaRDI QIDQ1260151

Martin Lorenz

Publication date: 1979

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154640


zbMATH Keywords

Ore extensiongroup algebras of polycyclic-by-finite groupsfinitely generated field extensionheart of prime idealsright noetherian algebra


Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generalizations of solvable and nilpotent groups (20F19) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50) Division rings and semisimple Artin rings (16Kxx) Modules, bimodules and ideals in associative algebras (16Dxx)


Related Items (1)

Associative rings



Cites Work

  • Unnamed Item
  • Centers and prime ideals in group algebras of polycyclic-by-finite groups
  • Primideale in Einhüllenden auflösbarer Lie-Algebren (Beschreibung durch Bahnenräume)
  • Primitive ideals in enveloping algebras
  • Ore Extensions and Polycyclic Group Rings
  • Primitive Ore extensions
  • Prime Ideals in Group Rings of Polycyclic Groups


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