On essential extensions of direct sums of injective modules

DOI10.1007/S00013-002-8224-2zbMath1020.16001OpenAlexW2003134541WikidataQ114232162 ScholiaQ114232162MaRDI QIDQ1348958

Wen-Fong Ke, Kostia I. Beidar

Publication date: 21 May 2002

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-002-8224-2

zbMATH Keywords

right Noetherian ringsessential extensionsdirect sums of injective modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (10)

On infinite direct sums of lifting modules ⋮ New characterization of $\Sigma $-injective modules ⋮ When is every module with essential socle a direct sum of automorphism-invariant modules? ⋮ T-idempotent invariant modules ⋮ Konstantin Igorevich Beidar (1951-2004) ⋮ Semisimple-direct-injective modules ⋮ Rings whose modules are direct sums of extending modules ⋮ When is Every Module with Essential Socle a Direct Sums of Quasi-Injectives? ⋮ Infinite Direct Sums of Lifting Modules ⋮ On essential extensions of direct sums of either injective or projective modules

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