V. Bondarenko, M. Stoika, “On representations of the group of order two over local factorial rings in the weakly modular case”, Algebra Discrete Math., 2017, том 23, выпуск 1,страницы 7

RESEARCH ARTICLE

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

V. Bondarenko^a, M. Stoika^b

^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

Аннотация: 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.

Ключевые слова: free algebra, factorial ring, maximal ideal, perfect representation, wild group.

MSC: 20C15, 20C20, 16G60

Поступила в редакцию: 14.02.2017

Язык публикации: английский