Let R be a ring and M be a left R-module. M is called generalized ⊕-supplemented if every submodule of M has a generalized supplement that is a direct summand of M . In this paper we give various properties of such modules. We show that any finite direct sum of generalized ⊕-supplemented modules is generalized ⊕-supplemented. If M is a generalized ⊕-supplemented module with (D3), then every direct summand of M is generalized ⊕-supplemented. We also give some properties of generalized cover
We study modules whose maximal submodules are supplements (direct summands). For a locally projectiv...
AbstractWe prove that a ring R is serial if and only if every finitely presented right and left R-mo...
In this paper, we introduce the concept of modules with the properties (RE) and (SRE), and we provid...
Let R be a commutative ring with identity, an R-module M is called G*⊕ Z* supplemented modules, if e...
Let R be a commutative ring with identity, an R- module M is called G*⊕Z* supplemented modules, if e...
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...
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...
Abstract. Let M be a right R-module. We call M Rad-H-supplemented if for each Y ≤M there exists a di...
AmoduleM is⊕-supplemented if every submodule ofM has a supplement which is a direct summand ofM. In ...
AmoduleM is⊕-supplemented if every submodule ofM has a supplement which is a direct summand ofM. In ...
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 ring, let M be a left R-module, and let U, V, F be submodules of M with F proper. We call...
Let M be an R-module and I be an ideal of R. We say that M is I-Rad-⊕-supplemented, provided for eve...
We study modules whose maximal submodules are supplements (direct summands). For a locally projectiv...
AbstractWe prove that a ring R is serial if and only if every finitely presented right and left R-mo...
In this paper, we introduce the concept of modules with the properties (RE) and (SRE), and we provid...
Let R be a commutative ring with identity, an R-module M is called G*⊕ Z* supplemented modules, if e...
Let R be a commutative ring with identity, an R- module M is called G*⊕Z* supplemented modules, if e...
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...
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...
Abstract. Let M be a right R-module. We call M Rad-H-supplemented if for each Y ≤M there exists a di...
AmoduleM is⊕-supplemented if every submodule ofM has a supplement which is a direct summand ofM. In ...
AmoduleM is⊕-supplemented if every submodule ofM has a supplement which is a direct summand ofM. In ...
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 ring, let M be a left R-module, and let U, V, F be submodules of M with F proper. We call...
Let M be an R-module and I be an ideal of R. We say that M is I-Rad-⊕-supplemented, provided for eve...
We study modules whose maximal submodules are supplements (direct summands). For a locally projectiv...
AbstractWe prove that a ring R is serial if and only if every finitely presented right and left R-mo...
In this paper, we introduce the concept of modules with the properties (RE) and (SRE), and we provid...