On injective and quasi-continuous modules

DOI10.1016/0022-4049(83)90090-7zbMath0506.16016OpenAlexW2159514227WikidataQ114215410 ScholiaQ114215410MaRDI QIDQ1836726

Bruno J. Mueller, S. Tariq Rizvi

Publication date: 1983

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(83)90090-7

zbMATH Keywords

decompositioncancellationinjective modulesinjective hullquasi-continuous modulescontinuous modulesdirect summanddirectly finite modulepurely infinite module

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) Other classes of modules and ideals in associative algebras (16D80)

Related Items

Commutative rings for which every continuous module is quasi-injective ⋮ Continuous Rings with Acc on Essentials are Artinian ⋮ On SC-modules ⋮ On the Schröder-Bernstein property for modules ⋮ When mutually epimorphic modules are isomorphic ⋮ On Continuous Hulls of Rings and Modules ⋮ On Some Classes of Module Hulls ⋮ On the generalizations of injectivity ⋮ On 𝒦-Nonsingular Modules and Applications ⋮ On continuous semiprimary rings ⋮ Modules Whose Endomorphism Rings are Unit-Regular ⋮ Module hulls—similarities and contrasts ⋮ The maximal regular ideal of self-injective and continuous rings splits off ⋮ Type submodules and direct sum decompositions of modules. ⋮ A CHARACTERIZATION OF GOLDIE EXTENDING MODULES OVER DEDEKIND DOMAINS ⋮ Decomposing modules into direct sums of submodules with types ⋮ On the relative (quasi-) continuity of modules ⋮ Characterizations of rings by their modules

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