Extending modules which are direct sums of injective modules and semisimple modules

DOI10.1080/00927879608825776zbMath0882.16004OpenAlexW1970037875MaRDI QIDQ4338181

Catarina Santa-Clara, Patrick F. Smith

Publication date: 3 March 1998

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

Full work available at URL: https://doi.org/10.1080/00927879608825776

zbMATH Keywords

semisimple modulessimple right modulesinjective modulesright Noetherian right \(V\)-ringsdirect sums of extending modulesfinite right Goldie dimension

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) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (1)

Extending modules with injective or semisimple summands

Cites Work

• On indecomposable decompositions of \(CS\)-modules. II
• All finitely generatedM-subgenerated modules are extending
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