Some Remarks on Multiplication and Projective Modules

DOI10.1081/AGB-200027780zbMath1065.13004OpenAlexW2076399665MaRDI QIDQ3158349

Majid M. Ali, David J. Smith

Publication date: 24 January 2005

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

Full work available at URL: https://doi.org/10.1081/agb-200027780

zbMATH Keywords

projective modulemultiplication modulepure idealtrace of an ideal

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Ideals and multiplicative ideal theory in commutative rings (13A15) Other special types of modules and ideals in commutative rings (13C13)

Related Items (19)

Strongly Duo Modules and Rings ⋮ A Zariski Topology for Modules ⋮ Idempotent and Nilpotent Submodules of Multiplication Modules ⋮ A dual Zariski topology for modules. ⋮ Comultiplication submodules of multiplication modules ⋮ Finitely generated torsion-free modules over integrally closed domains ⋮ Unnamed Item ⋮ Modules satisfying the weak Nakayama property ⋮ ½ Cancellation Modules and Homogeneous Idealization II ⋮ Some Remarks on Multiplication and Projective Modules II ⋮ Idealization and Theorems of D. D. Anderson II ⋮ Cancellation Modules and Homogeneous Idealization ⋮ Some Remarks on Generalized GCD Domains ⋮ FINITELY GENERATED GRADED MULTIPLICATION MODULES ⋮ Unnamed Item ⋮ Zariski Topologies for Coprime and Second Submodules ⋮ Idealization and Theorems of D. D. Anderson ⋮ Krull Modules ⋮ SOME PROPERTIES OF GR-MULTIPLICATION MODULES

Cites Work

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• On finitely generated projective and flat ideals in commutative rings
• The residual of finitely generated multiplication modules
• On finitely generated projective ideals and Ohm condition
• On finitely generated projective modules and multiplication modules
• Some remarks on multiplication modules
• Finiteness in projective ideals
• On the Ideal Equation I(B ∩ C) = IB∩IC
• MULTIPLICATION MODULES AND THE IDEAL
• Multiplication Ideals, Multiplication Rings, and the Ring R(X)
• Projective Ideals of Finite Type
• Multiplication modules
• Multiplication modules

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