We characterize a ring over which every left module of finite length has an injective hull of finite length. Using this, we show that finite normalizing extensions of such a ring also have the same property. We also consider rings having the property that the injective hull of every simple module is artinian. We show that certain noncommutative noetherian rings have this property
A poor module is one that is injective relative only to semisimple modules and a module is maximally...
A poor module is one that is injective relative only to semisimple modules and a module is maximally...
AbstractLet k be an uncountable field of characteristic zero and G a polycyclic-by-finite group. If ...
We characterize a ring over which every left module of finite length has an injective hull of finite...
Rosenberg and Zelinsky [10] studied rings over which every module of finite length has an injective ...
AbstractIf R̂ is the pure-injective hull of a valuation ring R, it is proved that R̂⊗RM is the pure-...
AbstractLet R be a ring, and let S be the injective hull of the right regular module RR. Suppose tha...
The purpose of this paper is to study finiteness conditions on injective hulls of simple modules ove...
In a recent paper, Aydogdu and Lopez-Permouth have defined a module M. to be N-subinjective if every...
If $\widehat{R} is the pure-injective hull of a valuation ring $R$, it is proved that $\widehat{R}\o...
If $\widehat{R} is the pure-injective hull of a valuation ring $R$, it is proved that $\widehat{R}\o...
Abstract. If R ̂ is the pure-injective hull of a valuation ring R, it is proved that R ̂ ⊗R M is the...
International audienceIt is shown that a ring is left semihereditary if and only each homomorphic im...
AbstractWe find a bound for the Goldie dimension of hereditary modules in terms of the cardinality o...
Abstract. It is known that every essential extension of a direct sum of injective hulls of simple R-...
A poor module is one that is injective relative only to semisimple modules and a module is maximally...
A poor module is one that is injective relative only to semisimple modules and a module is maximally...
AbstractLet k be an uncountable field of characteristic zero and G a polycyclic-by-finite group. If ...
We characterize a ring over which every left module of finite length has an injective hull of finite...
Rosenberg and Zelinsky [10] studied rings over which every module of finite length has an injective ...
AbstractIf R̂ is the pure-injective hull of a valuation ring R, it is proved that R̂⊗RM is the pure-...
AbstractLet R be a ring, and let S be the injective hull of the right regular module RR. Suppose tha...
The purpose of this paper is to study finiteness conditions on injective hulls of simple modules ove...
In a recent paper, Aydogdu and Lopez-Permouth have defined a module M. to be N-subinjective if every...
If $\widehat{R} is the pure-injective hull of a valuation ring $R$, it is proved that $\widehat{R}\o...
If $\widehat{R} is the pure-injective hull of a valuation ring $R$, it is proved that $\widehat{R}\o...
Abstract. If R ̂ is the pure-injective hull of a valuation ring R, it is proved that R ̂ ⊗R M is the...
International audienceIt is shown that a ring is left semihereditary if and only each homomorphic im...
AbstractWe find a bound for the Goldie dimension of hereditary modules in terms of the cardinality o...
Abstract. It is known that every essential extension of a direct sum of injective hulls of simple R-...
A poor module is one that is injective relative only to semisimple modules and a module is maximally...
A poor module is one that is injective relative only to semisimple modules and a module is maximally...
AbstractLet k be an uncountable field of characteristic zero and G a polycyclic-by-finite group. If ...
DOI
Add to ORKG