δ-Small Submodules andδ-Supplemented Modules

δ-Small Submodules and δ-Supplemented Modules

Research Article -Small Submodules and -Supplemented Modules

Modules Whose Small Submodules Have Krull Dimension

The main aim of this paper is to show that an AB5 module whose small submodules have Krull dimension has a radical having Krull dimension. The proof uses the notion of dual Goldie dimension.

A Note on Cofinitely δ-Lifting (Supplemented) Modules

It is proven that a ring R is δ-semiperfect if and only if every right R-module is (amply) cofinitely δ-supplemented. Mathematics Subject Classification: 16L30, 16E50

Submodules of Secondary Modules