Displaying similar documents to “Note on pure-projectivity of modules”

Behavior of countably generated pure-projective modules.

Goro Azumaya (1992)

Publicacions Matemàtiques

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We first prove that every countably presented module is a pure epimorphic image of a countably generated pure-projective module, and by using this we prove that if every countably generated pure-projective module is pure-injective then every module is pure-injective, while if in any countably generated pure-projective module every countably generated pure-projective pure submodule is a direct summand then every module is pure-projective.

Modules commuting (via Hom) with some colimits

Robert El Bashir, Tomáš Kepka, Petr Němec (2003)

Czechoslovak Mathematical Journal

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For every module M we have a natural monomorphism Ψ : ∐ i ∈ I H o m R ( M , A i ) → H o m R M , ∐ i ∈ I A i and we focus our attention on the case when Ψ is also an epimorphism. Some other colimits are also considered.