On cofinitely weak $\delta-$ supplemented modules
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We will study modules whose cofinite submodules have weak generalized-$\delta$-supplements. We attempt to investigate some properties of cofinitely weak generalized $\delta$-supplemented modules. We will prove for a module $M$ and a semi-$\delta$-hollow submodule $N$ of $M$ that,
In this work, cofinitely (weak) g-supplemented lattices are defined and some properties of these investigated. It is shown that quotient sublattices g-supplemented. If 〖{a_i/0} 〗_(i∈I) a collection L 1=⋁_(i∈I) a_i, then also proved without loss generality weak g-supplements cofin
In this paper we introduce Goldie$^{\ast }$-$\delta $-supplemented modules as follows. A module $M$ is called Goldie$^{\ast }$-$\delta $-supplemented (briefly, G$_{\delta }^{\ast }$-supplemented) if there exists a $\delta $-supplement $T$ of $M$ for every submodule $A$ of $M$ suc
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