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Displaying similar documents to “Mittag-Leffler modules and semi-hereditary rings”

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...

Right Utumi p.p.-rings

Ulrich Albrecht (2010)

Rendiconti del Seminario Matematico della Università di Padova

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