Krull dimension of permutation modules

DOI10.1080/00927879308824592zbMath0783.20006OpenAlexW2076428054MaRDI QIDQ4029216

Robert L. Snider

Publication date: 15 March 1993

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

Full work available at URL: https://doi.org/10.1080/00927879308824592

zbMATH Keywords

polycyclic-by-finite groupsgroup ringsKrull dimensionHirsch numberpermutation actionfinitely generated nilpotent grouplattice of two sided ideals\(G\)-invariant ideals\(G\)-plinth lengthKrull dimension of permutation modulesNoetherian permutation modules

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) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Cites Work

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• Prime Ideals in Group Rings of Polycyclic Groups
• Localization and the AR Property

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