Add to ORKGIt is shown that weakly supplemented modules need not be closed under extension (i.e. if U and M/U are weakly supplemented then M need not be weakly supplemented). We prove that, if U has a weak supplement in M then M is weakly supplemented. For a commutative ring R, we prove that R is semilocal if and only if every direct product of simple R-modules is weakly supplemented
summary:A weak basis of a module is a generating set of the module minimal with respect to inclusion...
The weakly regularity of all right R-modules with R an arbitrary ring does not imply the same proper...
Let R be a ring, let M be a left R-module, and let U, V, F be submodules of M with F proper. We call...
It is shown that weakly supplemented modules need not be closed under extension (i.e. if $U$ and $M/...
It is shown that weakly supplemented modules need not be closed under extension (i.e. if U and M/U a...
It is shown that weakly supplemented modules need not be closed under extension (i.e. if U and M/U a...
Abstract. Let τM be any preradical for σ[M] and N any module in σ[M]. In [2], Al-Takhman, Lomp and W...
In this note we show that a ring $R$ is left perfect if and only if every left $R$-module is weakly ...
WOS: 000446897400008As a proper generalization of the modules with the properties (E) and (EE) that ...
WOS: 000390602900035We say that over an arbitrary ring a module M has the property. (WE) (respective...
Under study are some conditions for the weakly regular modules to be closed under direct sums and th...
Under study are some conditions for the weakly regular modules to be closed under direct sums and th...
Under study are some conditions for the weakly regular modules to be closed under direct sums and th...
Under study are some conditions for the weakly regular modules to be closed under direct sums and th...
In this paper, we define and study weakly distributive modules as a proper generalization of distrib...
summary:A weak basis of a module is a generating set of the module minimal with respect to inclusion...
The weakly regularity of all right R-modules with R an arbitrary ring does not imply the same proper...
Let R be a ring, let M be a left R-module, and let U, V, F be submodules of M with F proper. We call...
It is shown that weakly supplemented modules need not be closed under extension (i.e. if $U$ and $M/...
It is shown that weakly supplemented modules need not be closed under extension (i.e. if U and M/U a...
It is shown that weakly supplemented modules need not be closed under extension (i.e. if U and M/U a...
Abstract. Let τM be any preradical for σ[M] and N any module in σ[M]. In [2], Al-Takhman, Lomp and W...
In this note we show that a ring $R$ is left perfect if and only if every left $R$-module is weakly ...
WOS: 000446897400008As a proper generalization of the modules with the properties (E) and (EE) that ...
WOS: 000390602900035We say that over an arbitrary ring a module M has the property. (WE) (respective...
Under study are some conditions for the weakly regular modules to be closed under direct sums and th...
Under study are some conditions for the weakly regular modules to be closed under direct sums and th...
Under study are some conditions for the weakly regular modules to be closed under direct sums and th...
Under study are some conditions for the weakly regular modules to be closed under direct sums and th...
In this paper, we define and study weakly distributive modules as a proper generalization of distrib...
summary:A weak basis of a module is a generating set of the module minimal with respect to inclusion...
The weakly regularity of all right R-modules with R an arbitrary ring does not imply the same proper...
Let R be a ring, let M be a left R-module, and let U, V, F be submodules of M with F proper. We call...