Primitive ideals of group algebras of supersoluble groups

DOI10.1007/BF01351715zbMath0341.16003MaRDI QIDQ1231541

Martin Lorenz

Publication date: 1977

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162924

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Group rings (16S34) Chains and lattices of subgroups, subnormal subgroups (20E15) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

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Poisson algebras via model theory and differential-algebraic geometry, Rings with Subexponential Growth and Irreducible Representations, Centers and prime ideals in group algebras of polycyclic-by-finite groups, The Dixmier-Moeglin equivalence for twisted homogeneous coordinate rings., Integrality and normalizing extensions of rings, Periodic subvarieties of semiabelian varieties and annihilators of irreducible representations, The Dixmier-Moeglin equivalence for extensions of scalars and Ore extensions, On the importance of being primitive, The Dixmier-Moeglin equivalence for cocommutative Hopf algebras of finite Gelfand-Kirillov dimension., A strong Dixmier-Moeglin equivalence for quantum Schubert cells, Some primitive differential operator rings, Some primitive group rings, Primitive ideals of certain Noetherian algebras, Generic flatness and the nullstellensatz for ore extensions, The Dixmier-Moeglin equivalence, Morita equivalence, and homeomorphism of spectra, Primitive localizations of group algebras of polycyclic-by-finite groups, Primitivity in skew Laurent polynomial rings and related rings

Cites Work

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• Primideale in Einhüllenden auflösbarer Lie-Algebren (Beschreibung durch Bahnenräume)
• Advances in group rings
• Group rings of hypercyclic groups
• Group rings of polycyclic groups
• On the Finiteness of Certain Soluble Groups
• Ore Extensions and Polycyclic Group Rings
• The Logarithmic Limit-Set of an Algebraic Variety
• Finiteness Conditions for Soluble Groups