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1.
7 p, 118.1 KB The converse of Schur's Lemma in group rings / Alaoui, M. (Faculté des Sciences (El Jadida, Marroc). Département de Mathématiques et Informatique) ; Haily, A. (Faculté des Sciences (El Jadida, Marroc). Département de Mathématiques et Informatique)
In this paper, we study the structure of group rings by means of endomorphism rings of their modules. The main tools used here, are the subrings fixed by automorphisms and the converse of Schur's lemma. [...]
2006 - 10.5565/PUBLMAT_50106_11
Publicacions matemàtiques, V. 50 n. 1 (2006) p. 203-209  
2.
4 p, 79.0 KB Perfect rings for which the converse of Schur's lemma holds / Haily, A. (Faculté des Sciences (El Jadida, Marroc). Département de Mathématiques et Informatique) ; Alaoui, M. (Faculté des Sciences (El Jadida, Marroc). Département de Mathématiques et Informatique)
If 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. [...]
2001 - 10.5565/PUBLMAT_45101_10
Publicacions matemàtiques, V. 45 N. 1 (2001) , p. 219-222  

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