On the structure of certain injective modules over group algebras of soluble groups of finite rank

DOI10.1016/0021-8693(83)90118-7zbMath0525.16007OpenAlexW1991661437WikidataQ123327636 ScholiaQ123327636MaRDI QIDQ594176

Ian M. Musson

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90118-7

zbMATH Keywords

polycyclic-by-finite groupssocle seriesinjective hullArtinian modulefinite extension of torsion free soluble groupNoetherian endomorphism ring

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Injective modules, self-injective associative rings (16D50) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07)

Related Items (5)

A note on the cohomology of metabelian groups ⋮ A LOCALISABLE CLASS OF PRIMITIVE IDEALS OF UNIFORM NILPOTENT IWASAWA ALGEBRAS ⋮ Injective modules, localization and completion in group algebras ⋮ Conditions for a Module to be Injective and some Applications to Hopf Algebra Duality ⋮ Classification of Groups Which Admit a Finite Number of Distinct Right-Orders

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