Poor and pi-poor Abelian groups

DOI10.1080/00927872.2016.1175585zbMath1365.20054arXiv1505.03300OpenAlexW2964108585MaRDI QIDQ2978275

Rafail Alizade, Engin Büyükaşık

Publication date: 21 April 2017

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

Full work available at URL: https://arxiv.org/abs/1505.03300

zbMATH Keywords

injective modulepure-injective modulepi-poor abelian groupspoor abelian groups

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Extensions of abelian groups (20K35) Homological and categorical methods for abelian groups (20K40) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (11)

Modules and abelian groups with a bounded domain of injectivity ⋮ Rings with modules having a restricted injectivity domain ⋮ Modules whose injectivity domains are restricted to semi-artinian modules ⋮ Modules and abelian groups with minimal (pure-) projectivity domains ⋮ When socles split in injectivity domains of modules ⋮ Poor modules with no proper poor direct summands ⋮ On the weak-injectivity profile of a ring ⋮ Rugged modules: The opposite of flatness ⋮ Unnamed Item ⋮ On the structure of modules defined by subinjectivity ⋮ Modules with minimal copure-injectivity domain

Cites Work

• Rings whose modules have maximal or minimal injectivity domains.
• POOR MODULES: THE OPPOSITE OF INJECTIVITY
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