Add to ORKG© 2017 World Scientific Publishing CompanyThe aim of the present article is to investigate the structure of rings (Formula presented.) satisfying the condition: for any family (Formula presented.) of simple right (Formula presented.)-modules, every essential extension of (Formula presented.) is a direct sum of lifting modules, where (Formula presented.) denotes the injective hull. We show that every essential extension of (Formula presented.) is a direct sum of lifting modules if and only if (Formula presented.) is right Noetherian and (Formula presented.) is hollow. Assume that (Formula presented.) is an injective right (Formula presented.)-module with essential socle. We also prove that if every essential extension of (Formula presented.)...
In this article we deal with modules with the property that all p-submodules are direct summands. In...
A module M is called a "lifting module" if, any submodule A of M contains a direct summand B of M su...
Introduction. This note investigates modules containing an essential direct sum of uniform submodule...
© 2017 World Scientific Publishing CompanyThe aim of the present article is to investigate the struc...
© 2017 World Scientific Publishing CompanyThe aim of the present article is to investigate the struc...
© 2017 World Scientific Publishing CompanyThe aim of the present article is to investigate the struc...
© 2017 World Scientific Publishing Company. The aim of the present article is to investigate the str...
© 2017 World Scientific Publishing Company. The aim of the present article is to investigate the str...
Abstract. It is shown that a semi-regular ringR with the property that each essential extension of a...
Abstract. It is known that every essential extension of a direct sum of injective hulls of simple R-...
Let R be any ring and let M be any right R-module. M is called hollow-lifting if every submodule N o...
Many authors have focused on the concept of Noetherian rings. M. Kosan and T. Quynh recently publish...
AbstractWe characterize when the direct sum of an extending module and an injective module is extend...
This thesis examines the structure of injective modules over commutative noetherian rings. The autho...
A ring $R$ is left noetherian if and only if the direct sum of injective envelopes of any family of ...
In this article we deal with modules with the property that all p-submodules are direct summands. In...
A module M is called a "lifting module" if, any submodule A of M contains a direct summand B of M su...
Introduction. This note investigates modules containing an essential direct sum of uniform submodule...
© 2017 World Scientific Publishing CompanyThe aim of the present article is to investigate the struc...
© 2017 World Scientific Publishing CompanyThe aim of the present article is to investigate the struc...
© 2017 World Scientific Publishing CompanyThe aim of the present article is to investigate the struc...
© 2017 World Scientific Publishing Company. The aim of the present article is to investigate the str...
© 2017 World Scientific Publishing Company. The aim of the present article is to investigate the str...
Abstract. It is shown that a semi-regular ringR with the property that each essential extension of a...
Abstract. It is known that every essential extension of a direct sum of injective hulls of simple R-...
Let R be any ring and let M be any right R-module. M is called hollow-lifting if every submodule N o...
Many authors have focused on the concept of Noetherian rings. M. Kosan and T. Quynh recently publish...
AbstractWe characterize when the direct sum of an extending module and an injective module is extend...
This thesis examines the structure of injective modules over commutative noetherian rings. The autho...
A ring $R$ is left noetherian if and only if the direct sum of injective envelopes of any family of ...
In this article we deal with modules with the property that all p-submodules are direct summands. In...
A module M is called a "lifting module" if, any submodule A of M contains a direct summand B of M su...
Introduction. This note investigates modules containing an essential direct sum of uniform submodule...