Relative continuity of direct sums of M-injective modules

DOI10.1017/S0004972700018463zbMath0967.16009WikidataQ114117767 ScholiaQ114117767MaRDI QIDQ4515429

Ahsan, Javed, Liu, Zhongkui

Publication date: 16 July 2001

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

zbMATH Keywords

direct sumsNoetherian ringscontinuous modulesnatural classesinjective left modulessemisimple left 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 (1)

On topological \(M\)-injective modules

Cites Work

• Cyclic modules whose quotients have all complement submodules direct summands
• Characterizations of rings by their modules
• Some rings characterised by their modules
• On the relative (quasi-) continuity of modules
• On Direct Sums of Injective Modules and Chain Conditions
• Direct sums of m-injective modules and module classes

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