SUPERDECOMPOSABLE PURE-INJECTIVE MODULES AND INTEGRAL GROUP RINGS

DOI10.1112/S0024610705022544zbMath1089.16007OpenAlexW2038877345WikidataQ114077770 ScholiaQ114077770MaRDI QIDQ3377401

Gena Puninski, Carlo Toffalori, V. Puninskaya

Publication date: 22 March 2006

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610705022544

zbMATH Keywords

integral group ringspure-injective modulesstring modulessuperdecomposable modulespullback rings

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Model-theoretic algebra (03C60) Injective modules, self-injective associative rings (16D50) Group rings (16S34) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (4)

On the Pure Injectivity of Certain Infinitely Generated Modules over Dedekind Pullbacks ⋮ How to construct a `concrete' superdecomposable pure-injective module over a string algebra. ⋮ Pure injective indecomposable modules over 1-domestic string algebras. ⋮ SUPERDECOMPOSABLE PURE INJECTIVE MODULES OVER COMMUTATIVE NOETHERIAN RINGS

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