Abstract In this paper, we give the relation between a finitely generated torsion free Dedekind module and the endomorphism ring of O(M ) M . In addition it is proved that the endomorphism ring of a finitely generated torsion free Dedekind module M is a Dedekind domain. Also, we give equivalent condition for Dedekind modules, duo modules and uniform modules. Various properties and characterizations of Dedekind modules over integral domains are considered and consequently, necessary and sufficient conditions for an R-module M to be a Dedekind module are given
Let R be a pullback od Dedekind domains onto a common quotient field. I discuss the pure injectivity...
AbstractIn the companion paper (J. Algebra 93 (1985), 1–116) all finitely generated modules over a c...
AbstractAn R-algebra A is said to be a generalized E-algebra if A is isomorphic to the algebra EndR(...
In this article the authors give the relation between a finitely-generated torsionfree Dedekind modu...
This research aims to give the decompositions of a finitely generated module over some special ring,...
AbstractAll finitely generated modules are described over a class of rings that includes the integra...
AbstractWe prove that for a commutative integral domain R the following conditions are equivalent: (...
AbstractAn object A in a category is called Dedekind finite if every monomorphism f : A→A is an isom...
Projective module over a ring is a special form of module over a ring. This projective module has a ...
summary:First, we give complete description of the comultiplication modules over a Dedekind domain. ...
AbstractAll finitely generated modules are described over a class of rings that includes the integra...
Let R be a ring. An R-module X is called c-injective if, for every closed submodule L of every R-mod...
Let R be a ring. An R-module X is called c-injective if, for every closed submodule L of every R-mod...
This research aims to give the decompositions of a finitely generated module over some special ring,...
AbstractAn R-algebra A is said to be a generalized E-algebra if A is isomorphic to the algebra EndR(...
Let R be a pullback od Dedekind domains onto a common quotient field. I discuss the pure injectivity...
AbstractIn the companion paper (J. Algebra 93 (1985), 1–116) all finitely generated modules over a c...
AbstractAn R-algebra A is said to be a generalized E-algebra if A is isomorphic to the algebra EndR(...
In this article the authors give the relation between a finitely-generated torsionfree Dedekind modu...
This research aims to give the decompositions of a finitely generated module over some special ring,...
AbstractAll finitely generated modules are described over a class of rings that includes the integra...
AbstractWe prove that for a commutative integral domain R the following conditions are equivalent: (...
AbstractAn object A in a category is called Dedekind finite if every monomorphism f : A→A is an isom...
Projective module over a ring is a special form of module over a ring. This projective module has a ...
summary:First, we give complete description of the comultiplication modules over a Dedekind domain. ...
AbstractAll finitely generated modules are described over a class of rings that includes the integra...
Let R be a ring. An R-module X is called c-injective if, for every closed submodule L of every R-mod...
Let R be a ring. An R-module X is called c-injective if, for every closed submodule L of every R-mod...
This research aims to give the decompositions of a finitely generated module over some special ring,...
AbstractAn R-algebra A is said to be a generalized E-algebra if A is isomorphic to the algebra EndR(...
Let R be a pullback od Dedekind domains onto a common quotient field. I discuss the pure injectivity...
AbstractIn the companion paper (J. Algebra 93 (1985), 1–116) all finitely generated modules over a c...
AbstractAn R-algebra A is said to be a generalized E-algebra if A is isomorphic to the algebra EndR(...