Add to ORKGAmoduleM is⊕-supplemented if every submodule ofM has a supplement which is a direct summand ofM. In this paper, we show that a quotient of a⊕-supplemented module is not in general ⊕-supplemented. We prove that over a commutative ring R, every finitely generated⊕-supplementedR-moduleM having dual Goldie dimen-sion less than or equal to three is a direct sum of local modules. It is also shown that a ring R is semisimple if and only if the class of ⊕-supplemented R-modules coincides with the class of injective R-modules. The structure of ⊕-supplemented modules over a commutative principal ideal ring is completely determined
It is shown that if a module $M$ is a sum of $\delta$-local submodules and a semisimple projective s...
AbstractLet (R,m) be a local ring (commutative and Noetherian). If R is complete (or, more generally...
Let R be a ring with identity. A module MR is called an r-semisimple module if for any right ideal ...
AmoduleM is⊕-supplemented if every submodule ofM has a supplement which is a direct summand ofM. In ...
summary:A left module $M$ over an arbitrary ring is called an $\mathcal{RD}$-module (or an $\mathcal...
Let M be an R-module and I be an ideal of R. We say that M is I-Rad-⊕-supplemented, provided for eve...
Let R be an arbitrary ring with identity and M a right R-module. In this paper, we introduce a class...
Let R be a commutative ring with identity, an R- module M is called G*⊕Z* supplemented modules, if e...
The submodule Z(M) = ∩{N | M/N is small in its injective hull} was introduced by Talebi and Vanaja ...
We study modules whose maximal submodules are supplements (direct summands). For a locally projectiv...
summary:Let $R$ be a ring and $M$ a right $R$-module. $M$ is called $ \oplus $-cofinitely supplem...
summary:Let $R$ be a ring and $M$ a right $R$-module. $M$ is called $ \oplus $-cofinitely supplem...
summary:Let $R$ be a ring and $M$ a right $R$-module. $M$ is called $ \oplus $-cofinitely supplem...
It is shown that if a module $M$ is a sum of $\delta$-local submodules and a semisimple projective s...
It is shown that if a module $M$ is a sum of $\delta$-local submodules and a semisimple projective s...
It is shown that if a module $M$ is a sum of $\delta$-local submodules and a semisimple projective s...
AbstractLet (R,m) be a local ring (commutative and Noetherian). If R is complete (or, more generally...
Let R be a ring with identity. A module MR is called an r-semisimple module if for any right ideal ...
AmoduleM is⊕-supplemented if every submodule ofM has a supplement which is a direct summand ofM. In ...
summary:A left module $M$ over an arbitrary ring is called an $\mathcal{RD}$-module (or an $\mathcal...
Let M be an R-module and I be an ideal of R. We say that M is I-Rad-⊕-supplemented, provided for eve...
Let R be an arbitrary ring with identity and M a right R-module. In this paper, we introduce a class...
Let R be a commutative ring with identity, an R- module M is called G*⊕Z* supplemented modules, if e...
The submodule Z(M) = ∩{N | M/N is small in its injective hull} was introduced by Talebi and Vanaja ...
We study modules whose maximal submodules are supplements (direct summands). For a locally projectiv...
summary:Let $R$ be a ring and $M$ a right $R$-module. $M$ is called $ \oplus $-cofinitely supplem...
summary:Let $R$ be a ring and $M$ a right $R$-module. $M$ is called $ \oplus $-cofinitely supplem...
summary:Let $R$ be a ring and $M$ a right $R$-module. $M$ is called $ \oplus $-cofinitely supplem...
It is shown that if a module $M$ is a sum of $\delta$-local submodules and a semisimple projective s...
It is shown that if a module $M$ is a sum of $\delta$-local submodules and a semisimple projective s...
It is shown that if a module $M$ is a sum of $\delta$-local submodules and a semisimple projective s...
AbstractLet (R,m) be a local ring (commutative and Noetherian). If R is complete (or, more generally...
Let R be a ring with identity. A module MR is called an r-semisimple module if for any right ideal ...