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Communications in Algebra Volume 46, 2018 - Issue 2
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Original Articles

Decomposition of group rings and the converse of Schur’s lemma

Mostafa Alaoui AbdallaouiDepartment of Mathematics, Chouaib Doukkali University, El jadida, Morocco
,
Mohammed El BadryDepartment of Mathematics, Chouaib Doukkali University, El jadida, Morocco
&
Abdelfattah HailyDepartment of Mathematics, Chouaib Doukkali University, El jadida, MoroccoCorrespondence[email protected]
Pages 664-670 | Received 29 Sep 2016, Published online: 30 Jun 2017
 
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ABSTRACT

In this work, we give necessary and sufficient conditions for a group ring (of finite group) to satisfy the converse of Schur’s lemma for group rings of finite groups. Rings considered here are commutative or noncommutative perfect. Some cases of twisted group rings are studied. Also we introduce the notion of semi-CSL ring.

2010 MATHEMATICS SUBJECT CLASSIFICATION:

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