Add to ORKGAbstract. A module M is said to be coretractable if there exists a nonzero homomorphism of every nonzero factor ofM intoM. We prove that all right (left) modules over a ring are coretractable if and only if the ring is Morita equivalent to a nite product of local right and left perfect rings. 1
Generalizing the concept of right bounded rings, a module $M_R$ is called bounded if {\rm ann}$_R(...
AbstractIt is proved that a ring R is right perfect if and only if it is Σ-cotorsion as a right modu...
AbstractThis paper explicitly determines the core of a torsion-free, integrally closed module over a...
Let $R$ be a ring and $M$ a right $R$-module. Let $N$ be a proper submodule of $M$. We say that $M$ ...
A right R-module M is called: (1) retractable if HomR(M,N)≠0 for any non-zero submodule N of M; (2) ...
Let R be a ring with identity and M be an R-module with unite. The module M is called strongly coret...
In this work, we extend the notion of retractability to s- retractability. An R-module is...
Abstract. Let R be a ring. A right R-module M is said to be retractable if HomR(M,N) 6 = 0 whenever ...
© 2016 Springer Science+Business Media New York In this paper, we study mod-retractable modules, CSL...
summary:Let $R$ be a ring. A right $R$-module $M$ is said to be retractable if $\mathbb{T}{Hom}_R(M,...
Abstract: We carry out a study of rings R for which HomR(M,N) 6 = 0 for all nonzero N ≤MR. Such ring...
AbstractA right R-module M is non-singular if xI≠0 for all non-zero x∈M and all essential right idea...
A poor module is one that is injective relative only to semisimple modules and a module is maximally...
A variety of rings including those that are Morita equivalent to local perfect rings, two by two upp...
The primary objective of this thesis is to present a unified account of the various generalizations ...
Generalizing the concept of right bounded rings, a module $M_R$ is called bounded if {\rm ann}$_R(...
AbstractIt is proved that a ring R is right perfect if and only if it is Σ-cotorsion as a right modu...
AbstractThis paper explicitly determines the core of a torsion-free, integrally closed module over a...
Let $R$ be a ring and $M$ a right $R$-module. Let $N$ be a proper submodule of $M$. We say that $M$ ...
A right R-module M is called: (1) retractable if HomR(M,N)≠0 for any non-zero submodule N of M; (2) ...
Let R be a ring with identity and M be an R-module with unite. The module M is called strongly coret...
In this work, we extend the notion of retractability to s- retractability. An R-module is...
Abstract. Let R be a ring. A right R-module M is said to be retractable if HomR(M,N) 6 = 0 whenever ...
© 2016 Springer Science+Business Media New York In this paper, we study mod-retractable modules, CSL...
summary:Let $R$ be a ring. A right $R$-module $M$ is said to be retractable if $\mathbb{T}{Hom}_R(M,...
Abstract: We carry out a study of rings R for which HomR(M,N) 6 = 0 for all nonzero N ≤MR. Such ring...
AbstractA right R-module M is non-singular if xI≠0 for all non-zero x∈M and all essential right idea...
A poor module is one that is injective relative only to semisimple modules and a module is maximally...
A variety of rings including those that are Morita equivalent to local perfect rings, two by two upp...
The primary objective of this thesis is to present a unified account of the various generalizations ...
Generalizing the concept of right bounded rings, a module $M_R$ is called bounded if {\rm ann}$_R(...
AbstractIt is proved that a ring R is right perfect if and only if it is Σ-cotorsion as a right modu...
AbstractThis paper explicitly determines the core of a torsion-free, integrally closed module over a...