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Algebra and Discrete Mathematics, 2017, Volume 23, Issue 1, Pages 7–15 (Mi adm593)  
RESEARCH ARTICLE

On representations of the group of order two over local factorial rings in the weakly modular case

V. Bondarenkoa, M. Stoikab

a Institute of Mathematics, Tereshchenkivska 3, 01601 Kyiv, Ukraine
b Department of Mathematics and Informatics, Ferenc Rakoczi II Transcarpathian Hungarian Institute, Kossuth square 6, 90200 Beregovo, Ukraine
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Abstract: We study representations of the group of order $2$ over local factorial rings of characteristic not $2$ with residue field of characteristic $2$. The main results are related to a sufficient condition of wildness of groups.
Keywords: free algebra, factorial ring, maximal ideal, perfect representation, wild group.
Received: 14.02.2017
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Document Type: Article
MSC: 20C15, 20C20, 16G60
Language: English
Citation: V. Bondarenko, M. Stoika, “On representations of the group of order two over local factorial rings in the weakly modular case”, Algebra Discrete Math., 23:1 (2017), 7–15
Citation in format AMSBIB
\Bibitem{BonSto17}
\by V.~Bondarenko, M.~Stoika
\paper On representations of the group of order two over local factorial rings in the weakly modular case
\jour Algebra Discrete Math.
\yr 2017
\vol 23
\issue 1
\pages 7--15
\mathnet{http://mi.mathnet.ru/adm593}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000398979400003}
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