AbstractWe prove that a ring R is serial if and only if every finitely presented right and left R-module is ⊕-supplemented, and that R is artinian serial if and only if every right and left R-module is ⊕-supplemented
AbstractA module M is called a CS-module if every submodule of M is essential in a direct summand of...
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...
All modules considered in this note are over associative commutative rings with an identity element....
AbstractWe prove that a ring R is serial if and only if every finitely presented right and left R-mo...
We prove that a ring R is serial if and only if every finitely presented right and left R-module is ...
In this paper, we introduce the concept of modules with the properties (RE) and (SRE), and we provid...
Dedekind domains, Artinian serial rings and right uniserial rings share the following property: Ever...
Dedekind domains, Artinian serial rings and right uniserial rings share the following property: Ever...
Zöschinger studied modules whose radicals have supplements and called these modules radical suppleme...
Let R be a ring and M be a left R-module. M is called generalized ⊕-supplemented if every submodule ...
AbstractThe main result of this paper is a structure theorem for an indecomposable nonsingular seria...
summary:A left module $M$ over an arbitrary ring is called an $\mathcal{RD}$-module (or an $\mathcal...
summary:A left module $M$ over an arbitrary ring is called an $\mathcal{RD}$-module (or an $\mathcal...
AbstractA basic Artinian serial ring can be realized as the subdirect product of factor rings of (S,...
In [9], the author extends the definition of lifting and supplemented modules to ?-lifting and ?-sup...
AbstractA module M is called a CS-module if every submodule of M is essential in a direct summand of...
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...
All modules considered in this note are over associative commutative rings with an identity element....
AbstractWe prove that a ring R is serial if and only if every finitely presented right and left R-mo...
We prove that a ring R is serial if and only if every finitely presented right and left R-module is ...
In this paper, we introduce the concept of modules with the properties (RE) and (SRE), and we provid...
Dedekind domains, Artinian serial rings and right uniserial rings share the following property: Ever...
Dedekind domains, Artinian serial rings and right uniserial rings share the following property: Ever...
Zöschinger studied modules whose radicals have supplements and called these modules radical suppleme...
Let R be a ring and M be a left R-module. M is called generalized ⊕-supplemented if every submodule ...
AbstractThe main result of this paper is a structure theorem for an indecomposable nonsingular seria...
summary:A left module $M$ over an arbitrary ring is called an $\mathcal{RD}$-module (or an $\mathcal...
summary:A left module $M$ over an arbitrary ring is called an $\mathcal{RD}$-module (or an $\mathcal...
AbstractA basic Artinian serial ring can be realized as the subdirect product of factor rings of (S,...
In [9], the author extends the definition of lifting and supplemented modules to ?-lifting and ?-sup...
AbstractA module M is called a CS-module if every submodule of M is essential in a direct summand of...
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...
All modules considered in this note are over associative commutative rings with an identity element....
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