Displaying similar documents to “Pseudo-closure-operators”

Pure closures

Ladislav Bican (1972)

Czechoslovak Mathematical Journal

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Generalized lifting modules.

Wang, Yongduo, Ding, Nanqing (2006)

International Journal of Mathematics and Mathematical Sciences

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Generalizations of coatomic modules

M. Koşan, Abdullah Harmanci (2005)

Open Mathematics

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For a ring R and a right R-module M, a submodule N of M is said to be δ-small in M if, whenever N+X=M with M/X singular, we have X=M. Let ℘ be the class of all singular simple modules. Then δ(M)=Σ{ L≤ M| L is a δ-small submodule of M} = Re jm(℘)=∩{ N⊂ M: M/N∈℘. We call M δ-coatomic module whenever N≤ M and M/N=δ(M/N) then M/N=0. And R is called right (left) δ-coatomic ring if the right (left) R-module R R(RR) is δ-coatomic. In this note, we study δ-coatomic modules and ring. We prove...

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.