Add to ORKGWe study modules M over a general ring R such that every submodule has a unique closure with respect to a hereditary torsion theory tau on Mod-R using the fact that the module M satisfies a certain transitivity property on tau-closed submodules
Cotilting bimodules over arbitrary rings give rise to a theory which naturally generalizes Morita du...
Because traditional ring theory places restrictive hypotheses on all submodules of a module, its res...
summary:Lattices of submodules of modules and the operators we can define on these lattices are usef...
We consider when a single submodule and also when every submodule of a module M over a general ring ...
Abstract. An R-module M is said to be an extending module if every closed submodule of M is a direct...
summary:An $R$-module $M$ is said to be an extending module if every closed submodule of $M$ is a di...
AbstractDifferential torsion theories are introduced and it is shown that for a hereditary torsion t...
Let be a hereditary torsion theory. The purpose of this paper is to extend results about singular (...
This article introduces the concept of a -supplemented module as follows: Given a hereditary torsion...
This paper is concerned with studying hereditary properties of primary decompositions of torsion R[X...
We first characterize ?-complemented modules with relative (pre)covers. We also introduce an extendi...
Abstract Let R be a ring andM an R−module. A moduleN ∈ [M] is calledM-small if,N ≪ K for someK ∈ [M]...
Let R be a ring with identity, and let Mod-R be the category of right R-modules. Let M be a right R-...
left R-modules to be an S-torsion theory if and only if there exists an ideal I of R satisfying the ...
A submodule N of a module M is called S - closed (in M) if M / N is nonsingular. It is well-known th...
Cotilting bimodules over arbitrary rings give rise to a theory which naturally generalizes Morita du...
Because traditional ring theory places restrictive hypotheses on all submodules of a module, its res...
summary:Lattices of submodules of modules and the operators we can define on these lattices are usef...
We consider when a single submodule and also when every submodule of a module M over a general ring ...
Abstract. An R-module M is said to be an extending module if every closed submodule of M is a direct...
summary:An $R$-module $M$ is said to be an extending module if every closed submodule of $M$ is a di...
AbstractDifferential torsion theories are introduced and it is shown that for a hereditary torsion t...
Let be a hereditary torsion theory. The purpose of this paper is to extend results about singular (...
This article introduces the concept of a -supplemented module as follows: Given a hereditary torsion...
This paper is concerned with studying hereditary properties of primary decompositions of torsion R[X...
We first characterize ?-complemented modules with relative (pre)covers. We also introduce an extendi...
Abstract Let R be a ring andM an R−module. A moduleN ∈ [M] is calledM-small if,N ≪ K for someK ∈ [M]...
Let R be a ring with identity, and let Mod-R be the category of right R-modules. Let M be a right R-...
left R-modules to be an S-torsion theory if and only if there exists an ideal I of R satisfying the ...
A submodule N of a module M is called S - closed (in M) if M / N is nonsingular. It is well-known th...
Cotilting bimodules over arbitrary rings give rise to a theory which naturally generalizes Morita du...
Because traditional ring theory places restrictive hypotheses on all submodules of a module, its res...
summary:Lattices of submodules of modules and the operators we can define on these lattices are usef...