AbstractDifferential torsion theories are introduced and it is shown that for a hereditary torsion theory τ every derivation on an R-module M has a unique extension to its module of quotients if and only if τ is a differential torsion theory. Dually, we show that when τ is cohereditary, every derivation on M can be lifed uniquely to its module of coquotients
We first characterize ?-complemented modules with relative (pre)covers. We also introduce an extendi...
Cotilting bimodules over arbitrary rings give rise to a theory which naturally generalizes Morita du...
This article introduces the concept of a -supplemented module as follows: Given a hereditary torsion...
AbstractDifferential torsion theories are introduced and it is shown that for a hereditary torsion t...
AbstractWe prove that every perfect torsion theory for a ring R is differential (in the sense of [P....
We prove that every perfect torsion theory for a ring R is differential (in the sense of [2]). In th...
Let τ be a hereditary torsion theory on ModR and suppose that Qτ:ModR→ModR is the localization funct...
AbstractLet α and β be automorphisms on a ring R and δ:R→R an (α,β)-derivation. It is shown that if ...
Let τ be a hereditary torsion theory on ModR and suppose that Qτ: ModR →ModR is the localization fun...
summary:If $\tau $ is a hereditary torsion theory on $\bold{Mod}_{R}$ and $Q_{\tau }:\bold{Mod}_{R}\...
Abstract. An R-module M is said to be an extending module if every closed submodule of M is a direct...
We study modules M over a general ring R such that every submodule has a unique closure with respect...
Let R be a small preadditive category, viewed as a ``ring with several objects.'' A right R-module i...
We consider when a single submodule and also when every submodule of a module M over a general ring ...
summary:An $R$-module $M$ is said to be an extending module if every closed submodule of $M$ is a di...
We first characterize ?-complemented modules with relative (pre)covers. We also introduce an extendi...
Cotilting bimodules over arbitrary rings give rise to a theory which naturally generalizes Morita du...
This article introduces the concept of a -supplemented module as follows: Given a hereditary torsion...
AbstractDifferential torsion theories are introduced and it is shown that for a hereditary torsion t...
AbstractWe prove that every perfect torsion theory for a ring R is differential (in the sense of [P....
We prove that every perfect torsion theory for a ring R is differential (in the sense of [2]). In th...
Let τ be a hereditary torsion theory on ModR and suppose that Qτ:ModR→ModR is the localization funct...
AbstractLet α and β be automorphisms on a ring R and δ:R→R an (α,β)-derivation. It is shown that if ...
Let τ be a hereditary torsion theory on ModR and suppose that Qτ: ModR →ModR is the localization fun...
summary:If $\tau $ is a hereditary torsion theory on $\bold{Mod}_{R}$ and $Q_{\tau }:\bold{Mod}_{R}\...
Abstract. An R-module M is said to be an extending module if every closed submodule of M is a direct...
We study modules M over a general ring R such that every submodule has a unique closure with respect...
Let R be a small preadditive category, viewed as a ``ring with several objects.'' A right R-module i...
We consider when a single submodule and also when every submodule of a module M over a general ring ...
summary:An $R$-module $M$ is said to be an extending module if every closed submodule of $M$ is a di...
We first characterize ?-complemented modules with relative (pre)covers. We also introduce an extendi...
Cotilting bimodules over arbitrary rings give rise to a theory which naturally generalizes Morita du...
This article introduces the concept of a -supplemented module as follows: Given a hereditary torsion...
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