AbstractA module M is called an extending (or CS) module, if every submodule of M is essential in a direct summand of M. In this paper we show that a ring R is right noetherian if every finitely (or 2-) generated right R-module is extending
Let (Formula presented.) be a nonempty subset of the set of submodules of a module M. Then M is call...
A module M is called extending (or CS) if every submodule of M is essential in a direct summand of M...
Let C be a nonempty subset of the set of submodules of a module M. Then M is called a C-extending mo...
AbstractA module M is called an extending (or CS) module, if every submodule of M is essential in a ...
AbstractWe characterize when the direct sum of an extending module and an injective module is extend...
AbstractA moduleMis known to be a CS-module (or an extending module) if every complement submodule o...
Abstract. It is shown that a semi-regular ringR with the property that each essential extension of a...
AbstractAn R-module M is called ∑-extending if every coproduct of copies of M is extending, i.e. clo...
Let be a nonempty subset of the set of submodules of a module M. Then M is called a C -extending mo...
A ring R is said to be right π-extending if every projection invariant right ideal of R is essential...
Abstract. Let R be a ring. A right R-module M is called quasi-principally in-jective if it is M-prin...
A module M is called an extending (or CS) module provided that every submodule of M is essential in ...
In [16], Thuyet and Wisbauer considered the extending property for the class of (essentially) finite...
A module M is called extending (or CS) if every submodule of M is essential in a direct summand of M...
It is proved that, for any ring R, a right R-module M has the property that, for every submodule N, ...
Let (Formula presented.) be a nonempty subset of the set of submodules of a module M. Then M is call...
A module M is called extending (or CS) if every submodule of M is essential in a direct summand of M...
Let C be a nonempty subset of the set of submodules of a module M. Then M is called a C-extending mo...
AbstractA module M is called an extending (or CS) module, if every submodule of M is essential in a ...
AbstractWe characterize when the direct sum of an extending module and an injective module is extend...
AbstractA moduleMis known to be a CS-module (or an extending module) if every complement submodule o...
Abstract. It is shown that a semi-regular ringR with the property that each essential extension of a...
AbstractAn R-module M is called ∑-extending if every coproduct of copies of M is extending, i.e. clo...
Let be a nonempty subset of the set of submodules of a module M. Then M is called a C -extending mo...
A ring R is said to be right π-extending if every projection invariant right ideal of R is essential...
Abstract. Let R be a ring. A right R-module M is called quasi-principally in-jective if it is M-prin...
A module M is called an extending (or CS) module provided that every submodule of M is essential in ...
In [16], Thuyet and Wisbauer considered the extending property for the class of (essentially) finite...
A module M is called extending (or CS) if every submodule of M is essential in a direct summand of M...
It is proved that, for any ring R, a right R-module M has the property that, for every submodule N, ...
Let (Formula presented.) be a nonempty subset of the set of submodules of a module M. Then M is call...
A module M is called extending (or CS) if every submodule of M is essential in a direct summand of M...
Let C be a nonempty subset of the set of submodules of a module M. Then M is called a C-extending mo...