INJECTIVE MODULES FOR GROUP RINGS OF POLYCYCLIC GROUPS II

DOI10.1093/qmath/31.4.449zbMath0413.16013OpenAlexW4250106511WikidataQ114090213 ScholiaQ114090213MaRDI QIDQ4200201

Ian M. Musson

Publication date: 1980

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/31.4.449

zbMATH Keywords

Krull dimensioninjective hullirreducible modulepolycyclic-by-finite groupgroup rings of polycyclic groupsfinitely generated essential extension of an irreducible module

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) 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) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (7)

Commutative non-Noetherian rings with the diamond property ⋮ Simple modules and their essential extensions for skew polynomial rings ⋮ Critical and injective modules over skew polynomial rings ⋮ On semi-artinian modules and injectivity conditions ⋮ MONOLITHIC MODULES OVER NOETHERIAN RINGS ⋮ Modules over polycyclic groups have many irreducible images ⋮ Some examples of modules over Noetherian rings

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