# On Potential Counterexamples to the Problem of Zero Divisors

V. G. Bardakov, M. S. Petukhova

Результат исследования: Научные публикации в периодических изданияхстатья

2 Цитирования (Scopus)

### Аннотация

E. Rips constructed a series of groups such that their group rings have zero divisors. such groups can serve as counterexamples to Kaplansky’s problem on zero divisors. The problem is to find such a group without torsion. We study simplest groups of this series, classify such groups, describe the structure, and show that all such groups have 2-torsion.

Язык оригинала английский 778-797 20 Journal of Mathematical Sciences (United States) 221 6 https://doi.org/10.1007/s10958-017-3266-y Опубликовано - 1 мар 2017