Add to ORKGAbstract. Let C be a non-empty class of modules closed under isomorphic copies. We consider some classes of modules associated to C. Among them, we study two important classes in the theory of natural and conatural classes of modules, namely the class consisting of all modules having no non-zero submodule in C, as well as its dual. 1
Foxby duality has proven to be an important tool in studying the category of modules over a local Co...
In this paper, we define a new notion namely essentially retractable module relative to a submodule ...
summary:Let $M$ be a module and $\mu $ be a class of modules in $\operatorname{Mod}-R$ which is clos...
A submodule N of a module M is called D-closed if the socle of M/ N is zero. D-closed submodules are...
Because traditional ring theory places restrictive hypotheses on all submodules of a module, its res...
AbstractIn this paper we study abstract elementary classes of modules. We give several characterizat...
A class of modules is called deconstructible if it coincides with the class of all S-filtered module...
AbstractIf C is any class of modules over a general ring R such that C is closed under direct sums, ...
Ringel CM. Minimal infinite submodule-closed subcategories. Bulletin des Sciences Mathématiques. 201...
A submodule N of a module M is called S - closed (in M) if M / N is nonsingular. It is well-known th...
AbstractLet R be a ring with identity. Let C be a class of R-modules which is closed under submodule...
We show that the concept of an Abstract Elementary Class (AEC) provides a unifying notion for severa...
summary:An $\mathscr {S}$-closed submodule of a module $M$ is a submodule $N$ for which $M/N$ is non...
Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2008Includes bibliographical ref...
Let X be any class of R-modules containing 0 and closed under isornorpllic images. With any such X w...
Foxby duality has proven to be an important tool in studying the category of modules over a local Co...
In this paper, we define a new notion namely essentially retractable module relative to a submodule ...
summary:Let $M$ be a module and $\mu $ be a class of modules in $\operatorname{Mod}-R$ which is clos...
A submodule N of a module M is called D-closed if the socle of M/ N is zero. D-closed submodules are...
Because traditional ring theory places restrictive hypotheses on all submodules of a module, its res...
AbstractIn this paper we study abstract elementary classes of modules. We give several characterizat...
A class of modules is called deconstructible if it coincides with the class of all S-filtered module...
AbstractIf C is any class of modules over a general ring R such that C is closed under direct sums, ...
Ringel CM. Minimal infinite submodule-closed subcategories. Bulletin des Sciences Mathématiques. 201...
A submodule N of a module M is called S - closed (in M) if M / N is nonsingular. It is well-known th...
AbstractLet R be a ring with identity. Let C be a class of R-modules which is closed under submodule...
We show that the concept of an Abstract Elementary Class (AEC) provides a unifying notion for severa...
summary:An $\mathscr {S}$-closed submodule of a module $M$ is a submodule $N$ for which $M/N$ is non...
Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2008Includes bibliographical ref...
Let X be any class of R-modules containing 0 and closed under isornorpllic images. With any such X w...
Foxby duality has proven to be an important tool in studying the category of modules over a local Co...
In this paper, we define a new notion namely essentially retractable module relative to a submodule ...
summary:Let $M$ be a module and $\mu $ be a class of modules in $\operatorname{Mod}-R$ which is clos...