An alternative perspective on injectivity of modules.

DOI10.1016/j.jalgebra.2011.04.021zbMath1246.16005OpenAlexW1985673140WikidataQ122705135 ScholiaQ122705135MaRDI QIDQ663610

Sergio R. López-Permouth, Pınar Aydoğdu

Publication date: 25 February 2012

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

Full work available at URL: http://hdl.handle.net/11655/19754

zbMATH Keywords

injective modulesinjectivity domainspoor modulessubinjective modulesindigent modulessubinjectivity domains

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)

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RD-projective module whose subprojectivity domain is minimal ⋮ Relative subcopure-injective modules ⋮ AN ALTERNATIVE PERSPECTIVE ON PROJECTIVITY OF MODULES ⋮ On the structure of modules defined by opposites of FP injectivity ⋮ Modules whose injectivity domains are restricted to semi-artinian modules ⋮ Flat-precover completing domains ⋮ On minimal absolutely pure domain of RD-flat modules ⋮ Rings and modules characterized by opposites of injectivity. ⋮ Characterizing rings in terms of the extent of the injectivity of their simple modules ⋮ PURE-INJECTIVITY FROM A DIFFERENT PERSPECTIVE ⋮ When socles split in injectivity domains of modules ⋮ Rings and modules characterized by opposites of FP-injectivity ⋮ The opposite of injectivity by proper classes ⋮ An alternative perspective on pure-projectivity of modules ⋮ Subprojectivity domains of pure-projective modules ⋮ On the weak-injectivity profile of a ring ⋮ On subinjectivity domains of pure-injective modules ⋮ When proper cyclics are homomorphic image of injectives ⋮ On the structure of modules defined by subinjectivity ⋮ Rings whose modules have maximal or minimal subprojectivity domain ⋮ On subinjectivity domains of RD-injective modules

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