Add to ORKGIf M is a simple module over a ring R then, by the Schur's lemma, the endomorphism ring of M is a division ring. However, the converse of this result does not hold in general, even when R is artinian. In this short note, we consider perfect rings for which the converse assertion is true, and we show that these rings are exactly the primary decomposable ones
The submodule Z(M) = ∩{N | M/N is small in its injective hull} was introduced by Talebi and Vanaja ...
AbstractLet R be a reduced commutative Noetherian ring. We provide conditions equivalent to isomorph...
AbstractWe study the structure of Schur rings over cyclic groups and prove that two Schur rings are ...
IfM is a simple module over a ring R then, by the Schur’s lemma, the endomorphism ring of M is a div...
If M is a simple module over a ring R then, by the Schur's lemma, the endomorphism ring of M is a di...
In this paper, we study the structure of group rings by means of endomorphism rings of their modules...
In this paper, we study the structure of group rings by means of endomorphism rings of their modules...
Our question is what ring R which all modules over R are determined, up to isomorphism, by their end...
We carry out a study of rings R for which HomR (M;N) 6= 0 for all nonzero N ≤ MR. Such rings are cal...
Extending the Wedderburn-Artin theory of (classically) semisimple associative rings to the realm of ...
We carry out a study of rings R for which HomR (M;N) 6= 0 for all nonzero N ≤ MR. Such rings are cal...
Abstract: We carry out a study of rings R for which HomR(M,N) 6 = 0 for all nonzero N ≤MR. Such ring...
AbstractWe study the structure of Schur rings over cyclic groups and prove that two Schur rings are ...
AbstractWe show that a (not necessarily unitary) ring with enough idempotents is left perfect if and...
It is proved that if Ap is a countable elementary abelian p-group, then: (i) The ring End (Ap) does ...
The submodule Z(M) = ∩{N | M/N is small in its injective hull} was introduced by Talebi and Vanaja ...
AbstractLet R be a reduced commutative Noetherian ring. We provide conditions equivalent to isomorph...
AbstractWe study the structure of Schur rings over cyclic groups and prove that two Schur rings are ...
IfM is a simple module over a ring R then, by the Schur’s lemma, the endomorphism ring of M is a div...
If M is a simple module over a ring R then, by the Schur's lemma, the endomorphism ring of M is a di...
In this paper, we study the structure of group rings by means of endomorphism rings of their modules...
In this paper, we study the structure of group rings by means of endomorphism rings of their modules...
Our question is what ring R which all modules over R are determined, up to isomorphism, by their end...
We carry out a study of rings R for which HomR (M;N) 6= 0 for all nonzero N ≤ MR. Such rings are cal...
Extending the Wedderburn-Artin theory of (classically) semisimple associative rings to the realm of ...
We carry out a study of rings R for which HomR (M;N) 6= 0 for all nonzero N ≤ MR. Such rings are cal...
Abstract: We carry out a study of rings R for which HomR(M,N) 6 = 0 for all nonzero N ≤MR. Such ring...
AbstractWe study the structure of Schur rings over cyclic groups and prove that two Schur rings are ...
AbstractWe show that a (not necessarily unitary) ring with enough idempotents is left perfect if and...
It is proved that if Ap is a countable elementary abelian p-group, then: (i) The ring End (Ap) does ...
The submodule Z(M) = ∩{N | M/N is small in its injective hull} was introduced by Talebi and Vanaja ...
AbstractLet R be a reduced commutative Noetherian ring. We provide conditions equivalent to isomorph...
AbstractWe study the structure of Schur rings over cyclic groups and prove that two Schur rings are ...