Add to ORKGIn recent work Goebel and Goldsmith investigated the spectrum of maximal pure subgroups of certain Abelian groups. Here the situation relating to maximal pure submodules of a torsion-free module over an integral domain R is investigated. Connections to the level of coherency are established along with a detailed investigation of the situation where all maximal pure submodules are isomorphic to a product of copies of the ring R
Let R be a valuation domain. We say that a torsion-free R-module is minimal if it is isomorphic to a...
We study modules whose maximal submodules are supplements (direct summands). For a locally projectiv...
AbstractThis paper determines when the Krull–Schmidt property holds for all finitely generated modul...
A ring R is a right max ring if every right module M = 0 has at least one maximal submodule. It suf...
In this note, we provide a generalization of a well-known result of module theory which states that ...
This paper contains two theorems concerning the theory of maximal Cohen-Macaulay modules. The first ...
This paper contains two theorems concerning the theory of maximal Cohen-Macaulay modules. The first ...
ABSTRACT. New classes of valuation domains R are discussed; they admit various characterizations dep...
The endomorphism algebras of modules of large cardinalities have been extensively studied in recent ...
Throughout this paper R represents a commutative ring with identity and all R-modules M are unitary ...
Let R be a valuation domain. We say that a torsion-free R-module is minimal if it is isomorphic to a...
The notion of local rings with quasi-decomposable maximal ideal was formally introduced by Nasseh an...
AbstractLet G be a finite rank torsion-free module over a discrete valuation ring V. A splitting fie...
Let R be a valuation domain. We say that a torsion-free R-module is minimal if it is isomorphic to a...
summary:In this paper we characterize all prime and primary submodules of the free $R$-module $R^{n}...
Let R be a valuation domain. We say that a torsion-free R-module is minimal if it is isomorphic to a...
We study modules whose maximal submodules are supplements (direct summands). For a locally projectiv...
AbstractThis paper determines when the Krull–Schmidt property holds for all finitely generated modul...
A ring R is a right max ring if every right module M = 0 has at least one maximal submodule. It suf...
In this note, we provide a generalization of a well-known result of module theory which states that ...
This paper contains two theorems concerning the theory of maximal Cohen-Macaulay modules. The first ...
This paper contains two theorems concerning the theory of maximal Cohen-Macaulay modules. The first ...
ABSTRACT. New classes of valuation domains R are discussed; they admit various characterizations dep...
The endomorphism algebras of modules of large cardinalities have been extensively studied in recent ...
Throughout this paper R represents a commutative ring with identity and all R-modules M are unitary ...
Let R be a valuation domain. We say that a torsion-free R-module is minimal if it is isomorphic to a...
The notion of local rings with quasi-decomposable maximal ideal was formally introduced by Nasseh an...
AbstractLet G be a finite rank torsion-free module over a discrete valuation ring V. A splitting fie...
Let R be a valuation domain. We say that a torsion-free R-module is minimal if it is isomorphic to a...
summary:In this paper we characterize all prime and primary submodules of the free $R$-module $R^{n}...
Let R be a valuation domain. We say that a torsion-free R-module is minimal if it is isomorphic to a...
We study modules whose maximal submodules are supplements (direct summands). For a locally projectiv...
AbstractThis paper determines when the Krull–Schmidt property holds for all finitely generated modul...