Modules and abelian groups with minimal (pure-) projectivity domains

DOI10.1142/S0219498817502036zbMath1429.20039MaRDI QIDQ4594930

Damla Dede Sipahi, Rafail Alizade

Publication date: 27 November 2017

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

zbMATH Keywords

generic ringprojectively poor module (abelian group)pure \(p\)-generic (\(i\)-generic) modulepure-projectively poor module (abelian group)

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) General structure theorems for groups (20E34) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Projective and free modules and ideals in commutative rings (13C10) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Homological and categorical methods for abelian groups (20K40)

Related Items (4)

Poor modules with no proper poor direct summands ⋮ An alternative perspective on pure-projectivity of modules ⋮ Rugged modules: The opposite of flatness ⋮ Modules with minimal copure-injectivity domain

Cites Work

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• On the Pure-injectivity Profile of a Ring
• POOR MODULES: THE OPPOSITE OF INJECTIVITY
• Cohomological Properties of Modules with Secondary Representations.
• Absolutely Pure Modules
• Summands of Separable Abelian Groups: Dedicated to Paul Turán on his 60th Birthday
• Absolutely Pure Modules

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