Poor modules with no proper poor direct summands

DOI10.1016/J.JALGEBRA.2017.12.034zbMath1397.16003OpenAlexW2791532510MaRDI QIDQ1706231

Peng Zhang

Publication date: 21 March 2018

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

Full work available at URL: https://hdl.handle.net/11147/7578

zbMATH Keywords

Noetherian ringinjective modulepoor modulepauper module

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) General structure theorems for groups (20E34) Structure, classification theorems for modules and ideals in commutative rings (13C05) Structure and classification of infinite or finite groups (20E99) Injective and flat modules and ideals in commutative rings (13C11) Modules, bimodules and ideals in associative algebras (16D99)

Related Items (8)

Rings with modules having a restricted injectivity domain ⋮ On the structure of modules defined by opposites of FP injectivity ⋮ Modules whose injectivity domains are restricted to semi-artinian modules ⋮ On simple-injective modules ⋮ Characterizing rings in terms of the extent of the injectivity of their simple modules ⋮ When socles split in injectivity domains of modules ⋮ On the weak-injectivity profile of a ring ⋮ Unnamed Item

Cites Work

• Rings whose cyclic modules have restricted injectivity domains
• On Artinian rings with restricted class of injectivity domains.
• Rings whose modules have maximal or minimal injectivity domains.
• An introduction to homological algebra
• On semi-artinian \(V\)-modules
• Module theory. Endomorphism rings and direct sum decompositions in some classes of modules
• Characterizing rings in terms of the extent of the injectivity and projectivity of their modules.
• On rings whose simple modules are injective
• Poor and pi-poor Abelian groups
• Modules With Descending Chain Condition
• POOR MODULES: THE OPPOSITE OF INJECTIVITY
• Modules and abelian groups with minimal (pure-) projectivity domains
• Rugged modules: The opposite of flatness
• Endomorphism Rings of Projective Modules
• Singular torsion and the splitting properties
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