ADS modules.

DOI10.1016/J.JALGEBRA.2011.10.035zbMath1256.16005arXiv1207.1959OpenAlexW4206796153MaRDI QIDQ435937

André Leroy, Adel N. Alahmadi, Surender Kumar Jain

Publication date: 13 July 2012

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

Full work available at URL: https://arxiv.org/abs/1207.1959

zbMATH Keywords

direct sumsinjective modulesquasi-continuous modulesabsolute direct summand propertyADS hullsADS 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) Other classes of modules and ideals in associative algebras (16D80)

Related Items (18)

D4-Modules ⋮ On generalizations of ADS modules and rings ⋮ Unnamed Item ⋮ Rings whose cyclics are D3-modules ⋮ On modules and rings having large absolute direct summands ⋮ Modules Invariant Under Clean Endomorphisms of Their Injective Hulls ⋮ On NCS modules and rings ⋮ C4-Modules ⋮ Dual-square-free modules ⋮ On group modules ⋮ On type-ADS modules and rings ⋮ Modules with ADS-(pre)envelopes and ADS-(pre)covers ⋮ Artinian serial rings R with J3(R) = 0 ⋮ A note on ADS* modules ⋮ On ADS Modules and Rings ⋮ T-quasi-continuous modules ⋮ Essentially ADS modules and rings ⋮ On dual automorphism-invariant and superfluous ADS-modules

Cites Work

• π-injective modules and rings whose cyclics are π-injective
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