On separable group rings

Let \(G\) be a finite non-abelian group, \(R\) a ring with 1, and \(\overline G\) the inner automorphism group of the group ring \(RG\) over \(R\) induced by the elements of \(G\). Then three main results are shown for the separable group ring \(RG\) over \(R\): (i) \(RG\) is not a Galois extension...

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Bibliographic Details
Date:2018
Main Authors: Szeto, George, Xue, Lianyong
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/645
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics