ON MODULES WHICH ARE SUBISOMORPHIC TO THEIR PURE-INJECTIVE ENVELOPES

DOI10.1142/S0219498802000173zbMath1035.16003WikidataQ114072591 ScholiaQ114072591MaRDI QIDQ4416625

Ahmed A. Abdel-Aziz, Maher Zayed

Publication date: 11 August 2003

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

coherent ringspure-injective moduleselementary equivalencespure-semisimple ringsreduced productsaxiomatisable classes

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) 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)

Cites Work

• Model theory of modules
• (Sigma-) algebraic compactness of rings
• Modules which are subisomorphic to injective modules
• Torsion-free modules and rings
• Purity and algebraic compactness for modules
• Model-completions and modules

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